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April 18, 2014

April 18, 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~ :)

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