AMC 8 Daily Practice Round 8

Complete problem set with solutions and individual problem pages

Problem 7 Medium

The unit prices of products A, B, and C are in the ratio 6 : 5 : 4.

It is known that the unit price of product A is 12 dollars more than that of product C. What is the sum of the unit prices of the three products?

  • A.

    75 dollars

  • B.

    85 dollars

  • C.

    90 dollars

  • D.

    95 dollars

  • E.

    100 dollars

Answer:C

Since the unit price of product A is 12 dollars more than that of product C, the difference corresponds to 6 - 4 = 2 parts.

So 1 part is:12 \div 2 = 6 \quad \text{(dollars)}

Then the total unit price of products A, B, and C is: 6 \times (6 + 5 + 4) = 90 \quad \text{(dollars)}

So the answer is \text{C}.