Question

Three generations of the Wen family are going to the movies, two from each generation. The two members of the youngest generation receive a $50\%$ discount as children. The two members of the oldest generation receive a $25\%$ discount as senior citizens. The two members of the middle generation receive no discount. Grandfather Wen, whose senior ticket costs $\$6.00,$ is paying for everyone. How many dollars must he pay?

$34$

$36$

$42$

$46$

$48$

Answer: B

Concepts:percentage work backwards

Difficulty rating: 1060

Solution:

The senior ticket costs $\$6,$ which is $\dfrac34$ of the full price, so a full ticket costs $\dfrac43 \cdot 6 = \$8,$ and a child ticket costs $\dfrac12 \cdot 8 = \$4.$

The total is $2(6 + 8 + 4) = \$36.$

Thus, the correct answer is B.

2009 AMC 10A Problem 8

Answer: B

Difficulty rating: 1060

Solution:

Problem 8 in Other Years