Posted by **Teo** on Monday, August 12, 2013 at 6:56am.

2/3 of Ryan's stickers is equal to 3/4 of Tony's stickers. After Ryan gives 48 stickers to Tony, they have the same number of stickers. How many stickers does Ryan have at first?

- math -
**Jai**, Monday, August 12, 2013 at 7:09am
Let x = number of Ryan's stickers

Let y = number of Tony's stickers

From the first statement,

(2/3)x = (3/4)y

From the second statement,

x - 48 = y + 48

Then we solve for x and y. There are many ways to solve this system, but let's do substitution.

To do substitution, we choose one equation and represent one of the variables in terms of the other. Then we substitute it to the other equation. Here, let's choose the variable x in the 2nd equation:

x - 48 = y + 48

x = y + 48 + 48

x = y + 96

Substitute it to the 1st equation:

(2/3)x = (3/4)y

(2/3)(y + 96) = (3/4)y

[(2/3)y + 64 = 3/4 y]*12

8y + 768 = 9y

8y - 9y = -768

-y = 768

y = 768 stickers (Tony's)

x = y + 96

x = 768 + 96

x = 864 stickers (Ryan's)

Hope this helps~ :)

## Answer this Question

## Related Questions

- math - The ratio of A's stickers to B's stickers was 3:4. After A bought another...
- math - a teacher gives 7 stickers to each student in the class, she will have 24...
- math - a teacher gives 7 stickers to each student in the class, she will have 24...
- math - meg has 20 pet stickers to go on a page 1/4of them are dog stickers 1/2of...
- math - Juanita wants to give bags of stickers to her friends. she wants to give ...
- math - deshawn and Luke had an equal number of stickers. After deshawn used 26 ...
- MAth - 840 stickers were given to 42 children. ⅔ of the children were boys...
- math - Daniel gave 4/5 of his stickers to Javier. Javier’s collection of ...
- Math - 840 stickers were given to 42 children. ⅔ of the children were boys...
- math - mr.kirby has 246 stickers.ms.hayes has fewer stickers.which number tells ...