Here are a couple of word problems that are hard to for me to start. If anyone could help, it would be greatly appreciated. thanks!!
Problem 1:
The sum of 2 numbers is 24. If 2/5 of the larger number is equal to 2/3 the smaller number, find the numbers.
Problem 2:
Luis spent 1/5 of his monthly salary for rent and 1/6 of his monthly salary for his car payment. If $950 was left, what was his monthly salary?
Thanks again!
The sum of 2 numbers is 24. If 2/5 of the larger number is equal to 2/3 the smaller number, find the numbers.
ok we don't know these two numbers, call them x (larger) and y (smaller).
2/5x = 2/3y
Now x+y=24, so x=24-y
substitute in first equation:
2/5*(24-y) = 2/3y
48/5 - 2/5y = 2/3y
48/5 = 16/15y
y=(48/5)/(16/15)=9
so x+9=24, so x=15
Problem 2:
Luis spent 1/5 of his monthly salary for rent and 1/6 of his monthly salary for his car payment. If $950 was left, what was his monthly salary?
Well the proportion of his salary left is 1-1/5-1/6 = 19/30 and this corresponds to $950
So monthly salary is x then:
19/30 = 950/x
Cross multiply and solve so
19x = 28500
x = 1500
You also know "the sum of two numbers is 24". If x and y are the two numbers, how does that equation translate?
The left side is the total of his rent and and car payment. But that is NOT $950. You are told that after taking those away from his salary, he has $950 left. Either 950- ((1/5)S+ (1/6)S)= 950 or (1/5)S+ (1/6)S= 950- S.Problem 2:
I tried 1/5S +1/6S = 950
Doesn't look like I am doing it right.
Notice my parentheses around 1/5 and 1/6. Most people would read "1/5S" as "1/(5S)".