Your friend's math test contained 42 questions, some of which were worth two points while therest were worth three points. Your friend tells you that a perfect score is 100 points, but shecannot remember how many of each type (2 point or 3 point) were on the test. Help your friendout:how many of each type were on the test?

Two points = 26

Three points = 16

Step-by-step explanation:

Let the 2 points questions be represented by x

Let the 3 points questions be represented by y

Since the math test contained 42 questions, some of which were worth two points while therest were worth three points. This can be written as:

x + y = 42 equation i

Since a perfect score is 100 and some questions are worth two pints while others are worth 3 points. This can be written as:

2x + 3y = 100 equation ii

x + y = 42 equation i

2x + 3y = 100 equation ii

Multiply equation i by 2.

Multiply equation ii by 1

2x + 2y = 84 equation iii

2x + 3y = 100 equation iv

Subtract equation iii from iv

y = 16

There are 16 3-points questions.

Since x + y = 42

x + 16 = 42

x = 42 - 16

x = 26

There are 26 2-points questions

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Step-by-step explanation:

$12. that is my answer.

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