Maths Olympiad Prep

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CEMC Pascal, 2012

Algebra Difficulty 1.4 Junior Find the answer Canada

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?

Pick one

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×$3.71=$25.977\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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