Question

Please help!

Your history teacher is giving 46 questions test worth 150 points.Some questions are worth three points and some are worth five points.How many three point questions are on the test?

Answer 1

40

Explanation:

Forming two equations :

1. x + y = 46
2. 3x + 5y = 150

Multiply Equation 1 by 3 :

• 3(x + y) = 46(3)
• 3x + 3y = 138

Subtract : Equation 2 - Edited Equation 1

• 3x + 5y - 3x - 3y = 150 - 138
• 2y = 12
• y = 6

Finding x :

• x + 6 = 46
• x = 40

There are 40 three point questions on the test.