Question

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.

x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.

Answer 1

Answer:

option c

Step-by-step explanation:

solving the above equations.

x + y = 24 equation 1

3x + 5y = 100 equation 2

multiplying equation 1 by 3

3x + 3y = 72 equation 3

subtracting equation 3 from equation 2

we get

2y = 28

y = 14

putting value of y in equation 1

x= 10

hence the test contains 10 three point questions and 14 five points questions.

hope it helps you

Answer 2

Given equations are;

x + y = 24 __________ ( i )

&

3x + 5y = 100 ___________ ( ii )

On solving ( i ) & ( ii ) we get,

x = 10 & y = 14

Hence, Test contains 10 three point questions and 14 five point questions.

Hope it helps.....