ISEE Word Problems Question 291: Answer and Explanation
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Question: 291
10. If a sausage 26 inches long were cut into 2 pieces so that one piece was 8 inches longer than the other piece, what would the length be, in inches, of the shorter piece?
- A. 5 in
- B. 9 in
- C. 17 in
- D. 21 in
Correct Answer: B
Explanation:
B
Let x represent the smaller number and set up an equation: x + x + 8 = 26. Combine like terms and subtract 8 from both sides: 2x = 18. Divide both sides by 2: x = 9.
Test the answers, starting with choice (B) or (C). If you start with choice (C), the smaller piece is 17, so the larger piece is 25. The sum of these pieces is 42, which is too large. Proceed to choice (B). If the smaller piece is 9, the larger piece is 17. The sum is 26.