Wednesday

August 27, 2014

August 27, 2014

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

- math -
**Jai**, Monday, August 12, 2013 at 7:09amLet 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~ :)

**Related Questions**

math - The ratio of A's stickers to B's stickers was 3:4. After A bought another...

math - meg has 20 pet stickers to go on a page 1/4of them are dog stickers 1/2of...

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 - deshawn and Luke had an equal number of stickers. After deshawn used 26 ...

math - Daniel gave 4/5 of his stickers to Javier. Javier’s collection of ...

Math - Adam has 245 stickers. He wants to put 25 stickers on 10 pages of his ...

Mathematics - Amanda sold 6 of the 12 stickers she bought at 0.49 cents each for...

math - mr.kirby has 246 stickers.ms.hayes has fewer stickers.which number tells ...

math - There are 48 small gift bags. Each bag can hold 1 toy and 6 stickers. If ...