Ann, Claire, and Josh collect stickers. One week, Ann collects 7 more stickers than Josh. Josh collects twice as many stickers a s Claire. If they collect a total of 157 stickers, how many stickers did each collect?
1 answer:
Answer:
Claire = 30 stickers
Josh = 60 stickers
Ann = 67 stickers
Step-by-step explanation:
Let
Claire stickers= x
Josh = 2x
Ann= 2x + 7
Total stickers = 157
Total stickers = Claire stickers + Josh stickers + Ann stickers
157 = x + (2x) + (2x+7)
157 = x + 2x + 2x + 7
157 = 5x + 7
Subtract 7 from both sides
157 - 7 = 5x + 7 - 7
150 = 5x
Divide both sides by 5
150/5 = x
30 = x
x = 30
Claire stickers= x
=30 stickers
Josh = 2x
= 2(30)
= 60 stickers
Ann= 2x + 7
= 2(30) + 7
= 60 + 7
= 67 stickers
Claire = 30 stickers
Josh = 60 stickers
Ann = 67 stickers
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