Question

Bridget bakes $48$ loaves of bread for her bakery. She sells half of them in the morning for $\$ 2.50$ 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 $\$ 0.75$ for her to make. In dollars, what is her profit for the day?

$24$

$36$

$44$

$48$

$52$

Solution:

In the morning Bridget sells $24$ loaves for $24\cdot\$2.50=\$60$ .

She has $24$ loaves left. In the afternoon she sells $\frac23\cdot24=16$ loaves at half price, earning $16\cdot\$1.25=\$20$ .

The remaining $8$ loaves sell for $\$8$ , so her revenue is $\$60+\$20+\$8=\$88$ . Her cost is $48\cdot\$0.75=\$36$ .

Her profit is $\$88-\$36=\$52$ .

Thus, E is the correct answer.

2014 AMC 10A Problem 3

Solution:

Problem 3 in Other Years