There are 35 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 100 points. Let multiple question be x. And short answers be y. How many short answer questions are on the test?

Question

There are 35 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 100 points. Let multiple question be x. And short answers be y.  How many short answer questions are on the test?

anonymous · Answer

$$\large x+y=35\\large 2x+5y=100$$

anonymous · Answer

2x + 5y = 100  ||  35 = x + y
35 = x + y
35 - y = x
SUB...
2x + 5y = 100
2(35-y) + 5y = 100
70 - 2y + 5y = 100
3y = 30
y = 10
SUB BACK
35 = x + y
35 =x + 10
x = 25

anonymous · Answer

Thanks guys