CEMC Pascal

Algebra Difficulty 2.0 Junior Find the answer

Seven students shared the cost of a $\$26.00$ pizza. Each student paid either $\$3.71$ or $\$3.72$ . How many students paid $\$3.72$ ?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

We can rephrase the given information by saying that each of the seven students paid $\$3.71$ and some of the students paid an extra $\$0.01$ . Since $7 \times \$3.71=\$25.97$ and the pizza cost $\$26.00$ in total, then the students who paid the extra $\$0.01$ each must make up the final $\$0.03$ of the cost of the pizza. Therefore, 3 students each paid an additional $\$0.01$ and so paid $\$3.72$ in total.

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