Question

Ann Clair and josh collect sticker one week Ann collects 7 more sticker then josh josh collect twice as many stickers as Claire. If they collect a total of 157 stickers how many sticker did each collect

Answer 1

Ann has 67

Josh has 60

Claire has 30

Answer 2

• Ann: 67
• Clair: 30
• Josh: 60

Explanation:

If we let A, C, and J represent the number of stickers collected by Ann, Clair, and Josh. respectively, then we have the relations ...

A = J +7

J = 2C

A + C + J = 157

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Substituting the first equation into the last, we have ...

J +7 + C + J = 157

C +2J = 150 . . . . . . . collect terms, subtract 7

Substituting the second equation into this one, we have ...

C +2(2C) = 150

C = 150/5 = 30 . . . . divide by the coefficient of C

J = 2·30 = 60

A = 60 +7 = 67

Ann collected 67 stickers, Clair collected 30, and Josh collected 60 stickers.