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Alice , Ben and Celine had 270 stickers altogether . Alice had 10 more stickers than Ben . Celine had thrice as many stickers as Alice . How many more stickers did Celine have than Ben ?​

1 Answer

5 votes

Answer:

122

Explanation:

Alice , Ben and Celine had 270 stickers altogether . Alice had 10 more stickers than Ben . Celine had thrice as many stickers as Alice .

where:

B = B

A = B + 10

C = 3A

All together equal 270 so:

B + A + C = 270

substitute in:

B + (B + 10) + 3(B + 10) = 270

B + B + 10 + 3B + 30 = 270

subtract 40 from both sides:

B + B + 10 + 3B + 30 - 40 = 270 - 40

B + B + 3B = 230

Combine left side:

5B = 230

divide both sides by 5:

5B/5 = 230/5

B =46

SO:

Using equations:

B = 46

A = 46 + 10 = 56

C = 3(56) = 168

check: 46 + 56 + 168 = 270 stickers total

__________________________________________________

How many more stickers did Celine have than Ben ?​

Celine - Ben = amount

168 - 46 = 122 more stickers

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