Subjects algebra

Age Stickers E3Cffa

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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. --- 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.