Maths Olympiad Prep

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Algebra Difficulty 2.0 Junior Find the answer

Seven students shared the cost of a \26.00pizza.Eachstudentpaideither pizza. Each student paid either \3.713.71 or \3.72.Howmanystudentspaid. How many students paid \3.723.72?

A number or a short expression. Spacing and $ signs are ignored.

Solution

We can rephrase the given information by saying that each of the seven students paid \3.71andsomeofthestudentspaidanextra and some of the students paid an extra \0.010.01. Since 7 \times \3.71=\25.9725.97 and the pizza cost \26.00intotal,thenthestudentswhopaidtheextra in total, then the students who paid the extra \0.010.01 each must make up the final \0.03ofthecostofthepizza.Therefore,3studentseachpaidanadditional of the cost of the pizza. Therefore, 3 students each paid an additional \0.010.01 and so paid \3.72$ in total.

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