Question

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?

Answer 1

do you go to risdon

Explanation:

Answer 2

Answer: Two points = 26

Three points = 16

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