1. **State the problem:** Tiana bought 8 packets of crackers, each weighing 500 grams. She repacked them into 3 boxes. The first box is twice as heavy as the second box, and the third box is 60 grams heavier than the second box. We need to find the mass of the second box.
2. **Calculate total mass:** Total mass of crackers is $$8 \times 500 = 4000$$ grams.
3. **Define variables:** Let the mass of the second box be $x$ grams.
4. **Express other boxes in terms of $x$:**
- First box mass = $2x$
- Third box mass = $x + 60$
5. **Write the equation for total mass:**
$$2x + x + (x + 60) = 4000$$
6. **Simplify the equation:**
$$2x + x + x + 60 = 4000$$
$$4x + 60 = 4000$$
7. **Isolate $x$:**
$$4x = 4000 - 60$$
$$4x = 3940$$
8. **Divide both sides by 4:**
$$x = \frac{3940}{4}$$
9. **Simplify the fraction:**
$$x = \frac{\cancel{3940}}{\cancel{4}} = 985$$
10. **Answer:** The mass of the second box is **985 grams**.
Mass Second Box 7650B6
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