Maths Olympiad Prep

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, 2013

Algebra Difficulty 1.3 Junior Find the answer Canada

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?

Pick one

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 $320×20%=$320×0.2=$64\$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 $80×10%=$80×0.1=$8\$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\%.

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