Question

There are 52 questions on Allison's English test. The multiple choice questions are worth 2 points each, and the short answer questions are worth 5 points each. The entire test is worth 155 points.
Let x = multiple choice questions, and
y = short answer questions

How many short answer questions are on the test?

Answer 1

There would be 17 short answer questions on the test.

Answer 2

Hello!

This is going to be a system of equations problem. so we need to set up some equations. we know the test has 52 questions, and is made up of multiple-choice and short answer questions. so x + y = 52 is our first equation we know the entire test has 155 points, and the multiple-choice are 2 points, and the short answer are 5 points. so 2x + 5y = 155 is our second equation so our system of equations is x + y = 52 2x + 5y = 155.

There are a few ways to solve it. i think i'd use the substitution method. 

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