QuestionAugust 26, 2025

43. PROBLEM SOLVING You spend 8.64 on 12 cans of cat food. Each can costs the same amount and is on sale for 80% of the original price The following week, the cans are no longer on sale .You have 10 Can you buy 12 more cans? Explain your reasoning.

43. PROBLEM SOLVING You spend 8.64 on 12 cans of cat food. Each can costs the same amount and is on sale for 80% of the original price The following week, the cans are no longer on sale .You have 10 Can you buy 12 more cans? Explain your reasoning.
43. PROBLEM SOLVING You spend 8.64 on 12 cans of cat food. Each can costs the same amount and is on sale for 80% of the original price The following week, the cans are no longer on sale .You have 10 Can you buy 12 more cans? Explain your reasoning.

Solution
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Answer

No, you cannot buy 12 more cans. Explanation 1. Calculate the sale price per can Total cost for 12 cans is \8.64. Therefore, the sale price per can is \frac{8.64}{12} = \0.72. 2. Determine the original price per can The sale price is 80\% of the original price. Let x be the original price. Then, 0.8x = 0.72. Solving gives x = \frac{0.72}{0.8} = \0.90. 3. Calculate total cost at original price At the original price, 12 cans cost 12 \times 0.90 = \10.80. 4. Compare with available money You have \10, which is less than \10.80.

Explanation

1. Calculate the sale price per can<br /> Total cost for 12 cans is $\$8.64$. Therefore, the sale price per can is $\frac{8.64}{12} = \$0.72$.<br />2. Determine the original price per can<br /> The sale price is $80\%$ of the original price. Let $x$ be the original price. Then, $0.8x = 0.72$. Solving gives $x = \frac{0.72}{0.8} = \$0.90$.<br />3. Calculate total cost at original price<br /> At the original price, 12 cans cost $12 \times 0.90 = \$10.80$.<br />4. Compare with available money<br /> You have $\$10$, which is less than $\$10.80$.
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