1. **Problem 1: Find James' age given the ratio of Macy's age to James' age is 3:8 and Macy is 15 years younger than James.**
2. Let Macy's age be $3x$ and James' age be $8x$ since their ratio is $3:8$.
3. According to the problem, Macy is 15 years younger than James, so:
$$8x - 3x = 15$$
4. Simplify the equation:
$$5x = 15$$
5. Solve for $x$:
$$x = \frac{15}{5} = 3$$
6. Find James' age:
$$8x = 8 \times 3 = 24$$
7. **Answer:** James is 24 years old.
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1. **Problem 2: Tim had 540 stickers. He kept $\frac{2}{9}$ of them and gave the rest to Jean and Glenn in the ratio 3:4. Find how many stickers Glenn received.**
2. Calculate how many stickers Tim kept:
$$540 \times \frac{2}{9} = 120$$
3. Calculate how many stickers Tim gave away:
$$540 - 120 = 420$$
4. Let the number of stickers Jean received be $3y$ and Glenn received be $4y$.
5. The total given away is:
$$3y + 4y = 7y = 420$$
6. Solve for $y$:
$$y = \frac{420}{7} = 60$$
7. Find how many stickers Glenn received:
$$4y = 4 \times 60 = 240$$
8. **Answer:** Glenn received 240 stickers.
Age Stickers E3Cffa
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