# Ascience test, which is worth 100 points, consists of 24 questions. each question is worth either 3 points or 5 points.

Ascience 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.

## This Post Has 5 Comments

1. jadeafrias says:

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

2. Expert says:

The answer is a hope i

3. cjkc says:

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

4. lele1522 says:

X=  3-point questions
y=  5-point questions

QUANTITY EQUATION:
x + y= 24

VALUE EQUATION:
3x + 5y= 100

If we solved these two equations by elimination or substitution, we find x and y. I'm going to solve by elimination.

STEP 1:
multiply the quantity equation by -3 to eliminate the x variable and solve for y.

-3(x + y)= -3(24)
-3x - 3y= -72

STEP 2:
add the value equation and the step 1 equation together to eliminate the x term and solve for y.

3x + 5y= 100
-3x - 3y= -72
the x term is eliminated

2y= 28
divide both sides by 2

y= 14 5-point questions

STEP 3:
substitute the y value into either original equation

x + y= 24

x + 14= 24
subtract both sides by 14

x= 10 3-point questions

ANSWER: The test contains 10 3-point questions and 14 5-point questions.

Hope this helps! 🙂

5. Expert says:

2,600 divided by 80 = 32.5

step-by-step explanation: