Question

(with steps please)

Your next Pre-Algebra test is worth 93 points and contains 38 multiple choice and short answer problems. Each
multiple choice problem is worth two points and each short answer is worth three points. How many of each type of
problem is on the test?

Answer 1

• 21 of multiple choice and 17 of short answer questions

Explanation:

• Multiple choice = m
• Short answer = s

Equations:

• m + s = 38
• 2m + 3s = 93

Solve for s by eliminating m. Subtract the double of the first equation from the second one:

• 2m + 3s - 2(m + s) = 93 - 2(38)
• 3s - 2s = 93 - 76
• s = 17

Find the value of m:

• m = 38 - 17 = 21