Question

Tom, Dorothy, and Sammy went on a vacation and agreed to split the costs evenly. During their trip Tom paid $\$105,$ Dorothy paid $\$125,$ and Sammy paid $\$175.$ In order to share costs equally, Tom gave Sammy $t$ dollars, and Dorothy gave Sammy $d$ dollars. What is $t-d?$

$15$

$20$

$25$

$30$

$35$

Answer: B

Concepts:mean money

Difficulty rating: 900

Solution:

The total cost was $\$105+\$125+\$175=\$405$ , so each person's share was $\$405\div3=\$135$ .

Tom paid $\$30$ less than his share, and Dorothy paid $\$10$ less than her share, so $t=30$ and $d=10$ .

Therefore $t-d=30-10=20$ .

Thus, B is the correct answer.

2013 AMC 10A Problem 5

Answer: B

Difficulty rating: 900

Solution:

Problem 5 in Other Years