julie started with 20 pieces of gum and gave away x pieces. conrad started with 35 pieces of gum and gave away twice as many pieces as julie did. how many pieces of gum did julie give away if they had the same number of pieces of gum left?

a. 18
b. 5
c. 15
d. 8

its 15 solve the equation.

number Julie gave away ---- x

numbr that Conrad gave away ---- 2x

20 - x = 35 - 2x

solve for x

To find out how many pieces of gum Julie gave away, we need to set up an equation based on the given information.

Julie started with 20 pieces of gum and gave away x pieces. This means she had 20 - x pieces left.

Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did. So Conrad gave away 2x pieces. This means Conrad had 35 - 2x pieces left.

The question states that Julie and Conrad had the same number of pieces of gum left. So we can set up an equation:

20 - x = 35 - 2x

To solve for x, let's simplify the equation:

20 + 2x = 35 - x
3x = 35 - 20
3x = 15
x = 5

Therefore, Julie gave away 5 pieces of gum.

So the answer is b. 5.