Cameron started with 20 pieces of gum and gave away x number of pieces. Connor started with 35 pieces of gum and gave away twice
as many as Cameron did. How many pieces of gum did Cameron give away if they had the same number of pieces left? A - 5 B - 15 C - 18 D - 8
1 answer:
Answer:
x = 15
Step-by-step explanation:
Cameron started with 20 pieces of gum and gave away x number of pieces.
Cameron = 20 - x
Connor started with 35 pieces of gum and gave away twice as many as Cameron did.
Connor = 35 - 2x
Equate both Cameron and Connor expression
20 - x = 35 - 2x
Collect like terms
20 - 35 = -2x + x
-15 = -x
Divide both sides by -1
15 = x
x = 15
Check:
Cameron = 20 - x
= 20 - 15
= 5
Connor = 35 - 2x
= 35 - 2(15)
= 35 - 30
= 5
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