AMC 8 Daily Practice Round 8

Complete problem set with solutions and individual problem pages

Problem 8 Medium

The combined value of my quarters and nickels is ten times the combined value of my pennies and nickels. If I have the same mumber of pennies as nickels, my ratio of quarters to pennies is（   ）．

  • A.

    1:1

  • B.

    2:1

  • C.

    10:3

  • D.

    11:5

  • E.

    5:3

Answer:D

According to the problem, I can assume a number.

Suppose I have 5 of both 1-cent and 5-cent coins.

Then the total value of the 1-cent and 5-cent coins is: 1 \times 5 + 5 \times 5 = 30 \text{ cents}

So the number of 25-cent coins is: (30 \times 10 - 5 \times 5) \div 25 = 11 \text{ coins}

Therefore, the ratio of the number of 25-cent coins to 1-cent coins is: 11 : 5

So the answer is \text{D}.

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