A box of marbles weighs 7 grams when empty. When 9 identical marbles are placed inside, the box and marbles weigh 70 grams in total. If the same empty box is filled with 12 of these marbles instead, find the total weight.
Show Worked Solution
Worked Solution
Step 1: Find the total weight of the 9 marbles (without the box).
9 marbles weigh 70 − 7 = 63 g.
Step 2: Find the weight of one marble.
1 marble = 63 ÷ 9 = 7 g.
Step 3: Find the weight of 12 marbles.
12 marbles = 12 × 7 = 84 g.
Step 4: Add the empty-box weight to get the total.
Total = 84 + 7 = 91 g.
Answer: 91 g
Correct answer: 91 g
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