Thread: 3 word problems

1) Jane, Kayla and Mandelite want to give their friend nadine a potted plant for her birthday. Jane spends 35$ on a pot, Kayla spends 3$ on a potting soil and mandelite buys a plant for 24$. If jane, Kayla and mandelite want to share their costs equally then who should give whom how much? Explain!

2) The country of taxalot has a different method of taxing income. If you make 1000$ per year your tax is 1%. For each additional 1000$ you make per year, your tax rate goes up 1%, so that, for example, if you made 24,000$ per year you would pay 24% in taxes. If you could set your salary anywhere between 0$ and 100,000$, what would you want it to be and why?

3)Ms. Jones, an elementary school teacher, has 24 students. Every day she picks two students to be her "special helpers" for the day. How many pairs of students are there in the class? If the school year is 190 days long, will there be enough days for every pair of children to be the "special helpers"? (notice that the problems asks about every pair of children, not every individual child.)


I would really appreciate it. Thank you.

Originally Posted by birdem

1) Jane, Kayla and Mandelite want to give their friend nadine a potted plant for her birthday. Jane spends 35$ on a pot, Kayla spends 3$ on a potting soil and mandelite buys a plant for 24$. If jane, Kayla and mandelite want to share their costs equally then who should give whom how much? Explain!

$62 is spent in total. this means each person should spend $62/3

this means Jane should get back $(35 - 62/3) and Mandeellite should get back $(24 - 62/3)

Kayla was the only one that underpaid (that cheapskate!), so she is the one who should pay out the respective sums of money to each girl

you should be able to answer the question more specifically now

Originally Posted by birdem

2) The country of taxalot has a different method of taxing income. If you make 1000$ per year your tax is 1%. For each additional 1000$ you make per year, your tax rate goes up 1%, so that, for example, if you made 24,000$ per year you would pay 24% in taxes. If you could set your salary anywhere between 0$ and 100,000$, what would you want it to be and why?

well, i definitely don't want to make $100,000 per year, that would mean 100% of my income goes to taxes

we want to set our salary so we maximize our net income. setting our salary above $50,000 means that more than half of our salary goes to taxes, so we actually get less than $25,000 net income. if we set our salary below $50,000 then we pay less than half our salary to taxes, but again, we make less than $25,000 net income, since even our gross income is less than $25,000. so what do you think we'd want to set our salary to?

Originally Posted by birdem

3)Ms. Jones, an elementary school teacher, has 24 students. Every day she picks two students to be her "special helpers" for the day. How many pairs of students are there in the class? If the school year is 190 days long, will there be enough days for every pair of children to be the "special helpers"? (notice that the problems asks about every pair of children, not every individual child.)

are repetitions allowed?

Both repitition and non repitition if its not a hassel for you. Thank you very much

Question number 1: Jane:$14.40 Mandelite: $3.40 Kayla: owes the girls $17.60 is this correct?

Question number 2: If we make our salary to 50,000 dollars the government will only take 50% that means we will have 25,000 dollars a year. If we set our salary to 40,000 and they take 40% we will be left with 16,000. So I have to agree with you that 50,000 will be the best

Originally Posted by birdem

Both repitition and non repitition if its not a hassel for you. Thank you very much

hehe, not a hassel for me? no hassle. it's not like i'm doing the problem, i am only giving hints.

let's say no repetition.

we are told not to consider it on an individual basis, but according to pairs. so we want no repetition of pairs, but a child can be picked more than once.

now when picking the first pair, the teacher can choose any of the 24 students to be the first student in the pair, then the teacher can choose any of the 23 remaining students to be the second student in the pair. so there are 24(23) = 552 choices for a pair.

on the second day however, the teacher can again choose 24 students for the first student in the pair (since individuals can be repeated), but now the teacher cannot choose 23 students for the second student, the teacher only has 22 choices, because we cannot choose the student that was paired with the student before).

so the break down is:

1st day: 24(23) choices

2nd day: 24(22) choices

3rd day: 24(21) choices

etc

now how would you answer the question?

how would you answer it if repetitions were allowed?

Originally Posted by birdem

Question number 1: Jane:$14.40 Mandelite: $3.40 Kayla: owes the girls $17.60 is this correct?

i don't understand your answer

say it like this:

Jane owes so-and-so $x
Mandelite owes so-and-so $y
Kayla owes so-and-so $z

and so on.

Question number 2: If we make our salary to 50,000 dollars the government will only take 50% that means we will have 25,000 dollars a year. If we set our salary to 40,000 and they take 40% we will be left with 16,000. So I have to agree with you that 50,000 will be the best

yes, $50,000 is the best salary.

I wanted to ask one final question for question three can you do something like this

24 23 22 21 _ _ _ _ _ _ 1
1 2 3 4 _________ 24

Would that be 25 times 24 then divide by 2?

I LIKE TO SAY THANK YOU VERY MUCH1

Originally Posted by Jhevon

$62 is spent in total. this means each person should spend $62/3

this means Jane should get back $(35 - 62/3) and Mandeellite should get back $(24 - 62/3)

Kayla was the only one that underpaid (that cheapskate!), so she is the one who should pay out the respective sums of money to each girl

you should be able to answer the question more specifically now

[



Hello, I need help

Mary says that the numbers in the following list are getting beigger: 4.1,4.2,4.3,4.4,4.5,4.6,4.7,4.8,4.9,4.10,1.11,1.12 ,4.13,4.14,4.15,.....4.18,4.19,4.20,4.21,4.22,.... .,4.29,4.30,4.31,...4.98,4.99,4.100,4.101....

Is mary right or not? If she not right, then which numbers on the list are immediately to the left of a smaller number.

Problem number 2
The smallest integer that is greater than 2 is 3. Is there a smallest real number that is greater than 2? Explain why or why not.











quote=birdem;108077]1) Jane, Kayla and Mandelite want to give their friend nadine a potted plant for her birthday. Jane spends 35$ on a pot, Kayla spends 3$ on a potting soil and mandelite buys a plant for 24$. If jane, Kayla and mandelite want to share their costs equally then who should give whom how much? Explain!

2) The country of taxalot has a different method of taxing income. If you make 1000$ per year your tax is 1%. For each additional 1000$ you make per year, your tax rate goes up 1%, so that, for example, if you made 24,000$ per year you would pay 24% in taxes. If you could set your salary anywhere between 0$ and 100,000$, what would you want it to be and why?

3)Ms. Jones, an elementary school teacher, has 24 students. Every day she picks two students to be her "special helpers" for the day. How many pairs of students are there in the class? If the school year is 190 days long, will there be enough days for every pair of children to be the "special helpers"? (notice that the problems asks about every pair of children, not every individual child.)


I would really appreciate it. Thank you.[/quote]

Originally Posted by recca

[



Hello, I need help

Mary says that the numbers in the following list are getting beigger: 4.1,4.2,4.3,4.4,4.5,4.6,4.7,4.8,4.9,4.10,1.11,1.12 ,4.13,4.14,4.15,.....4.18,4.19,4.20,4.21,4.22,.... .,4.29,4.30,4.31,...4.98,4.99,4.100,4.101....

Is mary right or not? If she not right, then which numbers on the list are immediately to the left of a smaller number.

Problem number 2
The smallest integer that is greater than 2 is 3. Is there a smallest real number that is greater than 2? Explain why or why not.











quote=birdem;108077]1) Jane, Kayla and Mandelite want to give their friend nadine a potted plant for her birthday. Jane spends 35$ on a pot, Kayla spends 3$ on a potting soil and mandelite buys a plant for 24$. If jane, Kayla and mandelite want to share their costs equally then who should give whom how much? Explain!

2) The country of taxalot has a different method of taxing income. If you make 1000$ per year your tax is 1%. For each additional 1000$ you make per year, your tax rate goes up 1%, so that, for example, if you made 24,000$ per year you would pay 24% in taxes. If you could set your salary anywhere between 0$ and 100,000$, what would you want it to be and why?

3)Ms. Jones, an elementary school teacher, has 24 students. Every day she picks two students to be her "special helpers" for the day. How many pairs of students are there in the class? If the school year is 190 days long, will there be enough days for every pair of children to be the "special helpers"? (notice that the problems asks about every pair of children, not every individual child.)


I would really appreciate it. Thank you.

[/quote]
This member has posted this question multiple times.