# Math Help - ratios?

1. ## ratios?

the ratio of two numbers is 5/6. the second number is 16 less than twice the first number. find both numbers.

how would that be written out?

2. Originally Posted by illeatyourxface
the ratio of two numbers is 5/6. the second number is 16 less than twice the first number. find both numbers.

how would that be written out?
Let the first number be x.

Then the second number is x-16

the ratio of these two is 5/6

Spoiler:

$\frac{x-16}{x}=\frac{5}{6}$

$6(x-16)=5x$

$x=96$

3. so it would be x+x+16=5/6?

4. Originally Posted by illeatyourxface
so it would be x+x+16=5/6?
no...sorry

you have got two numbers x and x-16

form their ratio i.e. divide one number by another....and then equal it to 5/6

5. so does it matter what order? would it be x/ x-16 = 5/6?

6. Originally Posted by illeatyourxface
so does it matter what order? would it be x/ x-16 = 5/6?
since you are dealing only with natural numbers, x-16 will be less than x

hence, (x-16)/x=5/6

however solve both ways and see what you get

7. Im sorry, taking this online class and for college and you are supposed to just do the problems in this workbook but im having problems and there are no directions or anything.... kind fustrating... :[

and continuing with the problem would you then cross multiply?

8. Originally Posted by illeatyourxface
Im sorry, taking this online class and for college and you are supposed to just do the problems in this workbook but im having problems and there are no directions or anything.... kind fustrating... :[

and continuing with the problem would you then cross multiply?
malaygoel, i'll speak for you, Yes he would.

9. haha thanks, and then the answer is 96 and and how would you find the other answer add or subtract 16?

10. Originally Posted by illeatyourxface
haha thanks, and then the answer is 96 and and how would you find the other answer add or subtract 16?
you got x as 96

Spoiler:

x-16=96-16...80

11. ohhh haha okay, thanks so much, very helpful

12. Originally Posted by illeatyourxface
the ratio of two numbers is 5/6. the second number is 16 less than twice the first number. find both numbers.

how would that be written out?

The ratio of two numbers is $\frac{5}{6}$. The second number is 16 less than twice the first number.

If we call the first number $x$, then twice the first number is $2x$, and 16 less than twice the first number is $2x - 16$.

So $\frac{x}{2x - 16} = \frac{5}{6}$

$6x = 5(2x - 16)$

$6x = 10x - 80$

$80 = 4x$

$x = 20$.

Therefore $2x - 16 = 2(20) - 16$

$= 40 - 16$

$= 24$.

So the two numbers are 20 and 24.

13. For illeatyourxface,
steps are essentialy the same

For me,
I will read questions more carefully

14. ohhh nowww i see, thanks again, veryyy very helpful