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Problem 124

Algebra Difficulty 1.3 Multiple choice CEMC Fermat · Canada · 2013

The regular price for a bicycle is 320. The bicycle is on sale for 20% off. The regular price for a helmet is 80. The helmet is on sale for 10% off. If Sandra bought both items on sale, what is her percentage savings on the total purchase?

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Official solution

Since the regular price for the bicycle is 320 and the savings are 20%, then the amount of money that Sandra saves on the bicycle is \$320 ×\times 20\% = \$320 ×\times 0.2 = \$64$.

Since the regular price for the helmet is 80 and the savings are 10%, then the amount of money that Sandra saves on the helmet is \$80 ×\times 10\% = \$80 ×\times 0.1 = \$8$.

The total of the original prices for the bicycle and helmet is $320+$80=$400\$320+\$80 = \$400.

Sandra’s total savings are $64+$8=$72\$64+\$8 = \$72.

Therefore, her total percentage savings is $72$400×100%=724×1%=18%\dfrac{\$72}{\$400}\times 100\% = \dfrac{72}{4}\times 1\% = 18\%.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.