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Donnie84
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Emma spent $75 buying a used bicycle and $27 repairing it. Then she so 14 Apr 2024, 05:27
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­Emma spent $75 buying a used bicycle and $27 repairing it. Then she sold the bicycle for 40 percent more than the total amount she spent buying and repairing it.

Quantity A
The price at which Emma sold the bicycle

Quantity B
$140
 
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A
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Emma spent $75 buying a used bicycle and $27 repairing it. Then she so 16 Apr 2024, 00:14
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­Money spent buying the bike: $75
Money spent repairing the bike: $27
Money spent altogether: $75+$27= $102

Sold the bike for 40% more than $102
102*1.4=142.8

142.8>140

Final Answer: A
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Emma spent $75 buying a used bicycle and $27 repairing it. Then she so 16 Apr 2024, 00:17
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There's actually no need to do any math in this question. If you recognize that quantity B is $100+40% and quantity A is a number greater than $100+ 40% there's no need to calculate it at all. We know A has to be greater.
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Emma spent $75 buying a used bicycle and $27 repairing it. Then she so 01 Jul 2024, 12:03
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Official Explanation

­In this question you are asked to compare the price at which Emma sold the bicycle with $140. From the information given, you can conclude that Emma spent a total of 75 + 27 = 102 dollars buying and repairing the bicycle and that she sold it for 40 percent more than the $102 she spent buying and repairing it. If you notice that 140 is 40 percent more than 100, you can conclude that 40 percent more than 102 is greater than 40 percent more than 100, and therefore, Quantity A is greater than Quantity B. The correct answer is Choice A. (If you solve the problem in this way, you do not have to calculate the value of Quantity A.)

Another way to solve the problem is by explicitly calculating the value of Quantity A and comparing the result with $140 directly. Since 40 percent of 102 is (0.4)(102) = 40.8, it follows that Quantity A, the price at which Emma sold the bicycle, is 102.00 + 40.80 = 142.80 dollars. Thus Quantity A, $142.80, is greater than Quantity B, $140, and the correct answer is Choice A.