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 \$latex a &s=1\$. 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 \$latex 8a &s=1\$. 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 \$latex a &s=1\$ dollars at the shoe store. The shoe store pays \$latex b &s=1\$ dollars for a box of eight pairs of shoes wholesale. If the cost of eight pairs of shoes purchased wholesale is \$latex c &s=1\$ dollars less than the cost of eight pairs of shoes at the shoe store, which of the following equations must be true?

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