# SAT/ACT problem of the week, August 18, 2016 Solution

Hint for process of elimination: If we read carefully, we notice that the price of a single pair of shoes at the shoe store is $a$. The problem asks for the difference involving the cost of eight pairs of shoes at the shoe store. Therefore, the answer must have a term of $8a$. This eliminates choices A, C, and E.

You can now try to reason through choices B and D. Since you eliminated three choices, you are statistically likely to improve your score by not leaving the answer blank, so you have to choose either B or D.

Read on for a full solution.

# SAT problem of the week, August 18, 2014

A pair of shoes costs customers $a$ dollars at the shoe store. The shoe store pays $b$ dollars for a box of eight pairs of shoes wholesale. If the cost of eight pairs of shoes purchased wholesale is $c$ dollars less than the cost of eight pairs of shoes at the shoe store, which of the following equations must be true?

1. $a-8b+c=0$ (check answer)
2. $8a-b+c=0$ (check answer)
3. $a-b-c=0$ (check answer)
4. $8a-b-c=0$ (check answer)
5. $a+8b-c=0$ (check answer)

Solutions, hints, and questions are welcomed. A full solution will be posted on August 24th. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.

# SAT problem of the week, August 18, 2014 Solution

Hint for process of elimination: If we read carefully, we notice that the price of a single pair of shoes at the shoe store is $a$. The problem asks for the difference involving the cost of eight pairs of shoes at the shoe store. Therefore, the answer must have a term of $8a$. This eliminates choices A, C, and E.

You can now try to reason through choices B and D. Since you eliminated three choices, you are statistically likely to improve your score by not leaving the answer blank, so you have to choose either B or D.

Read on for a full solution.

A pair of shoes costs customers $a$ dollars at the shoe store. The shoe store pays $b$ dollars for a box of eight pairs of shoes wholesale. If the cost of eight pairs of shoes purchased wholesale is $c$ dollars less than the cost of eight pairs of shoes at the shoe store, which of the following equations must be true?
1. $a-8b+c=0$ (check answer)
2. $8a-b+c=0$ (check answer)
3. $a-b-c=0$ (check answer)
4. $8a-b-c=0$ (check answer)
5. $a+8b-c=0$ (check answer)