Question

Peter has twice as many stickers as Joe. Joe has 40 more stickers than Emily. They have 300 Stickers altogether. How many stickers does Peter have?

Answer 1

170

Explanation:

Equations derived from given info.

• P=2J
• J=E+40
• P+J+E=300

Use some substitution now.

• P=2(E+40)
• J=E+40
• P+J+E=300

Substitute first and second equation into third.

• 2(E+40)+E+40+E=300
• 2E+80+E+40+E=300
• 4E+120=300
• 4E=180
• E=45

Emily has 45 stickers. But we want to know what Peter has.

Use P=2(E+40)

• P=2(45+40)
• P=90+80
• P=170

Peter has 170 stickers.