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2014 AMC 10A Problem 3

Problem 3 of 25EasierAlgebra

Bridget bakes 4848 loaves of bread for her bakery. She sells half of them in the morning for $2.50\$ 2.50 each. In the afternoon she sells two thirds of what she has left, and because they are not fresh, she charges only half price. In the late afternoon she sells the remaining loaves at a dollar each. Each loaf costs $0.75\$ 0.75 for her to make. In dollars, what is her profit for the day?

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Solution

In the morning Bridget sells 2424 loaves for 24$2.50=$6024\cdot\$2.50=\$60. She has 2424 loaves left. In the afternoon she sells 2324=16\frac23\cdot24=16 loaves at half price, earning 16$1.25=$2016\cdot\$1.25=\$20. The remaining 88 loaves sell for $8\$8, so her revenue is $60+$20+$8=$88\$60+\$20+\$8=\$88. Her cost is 48$0.75=$3648\cdot\$0.75=\$36. Her profit is $88$36=$52\$88-\$36=\$52. Thus, E is the correct answer.

More practice

Concepts: money · fraction

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.