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Wilson and Jamie like to share stickers. If Wilson gives 10 stickers to Jamie, the ratio of Wilson to Jamie's stickers will be 1 : 8. If Wilson gives 70 stickers to Jamie, their ratio will be 1 : 11. How many stickers does Wilson have?

Question

Wilson and Jamie like to share stickers. If Wilson gives 10 stickers to Jamie, the ratio of Wilson to Jamie's stickers will be 1 : 8. If Wilson gives 70 stickers to Jamie, their ratio will be 1 : 11. How many stickers does Wilson have?

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Solution

Let's solve this problem step by step:

Step 1: Let's denote the number of stickers Wilson has as W and the number of stickers Jamie has as J.

Step 2: From the problem, we know that if Wilson gives 10 stickers to Jamie, the ratio of Wilson to Jamie's stickers will be 1 : 8. This can be written as:

(W - 10) / (J + 10) = 1 / 8

Step 3: We also know that if Wilson gives 70 stickers to Jamie, their ratio will be 1 : 11. This can be written as:

(W - 70) / (J + 70) = 1 / 11

Step 4: Now we have a system of two equations. We can solve this system to find the values of W and J.

Solving the system of equations, we get:

W = 90 stickers (This is the number of stickers Wilson has) J = 630 stickers (This is the number of stickers Jamie has)

So, Wilson has 90 stickers.

This problem has been solved

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