Andrew poured 928 mℓ of fruit punch into a cup, a glass and a mug. The cup contained 2 times as much fruit punch as the glass. The mug contained 127 mℓ of fruit punch.
- How much fruit punch did the glass contain?
- How much more fruit punch did the cup contain than the mug?
(a)
Volume of fruit punch that a cup contained = 2 u
Volume of fruit punch that a glass contained = 1 u
Volume of fruit punch that a mug contained = 127 mℓ
Total volume of fruit punch
= 2 u + 1 u + 127
= 3 u + 127
3 u + 127 = 928
3 u = 928 - 127
3 u = 801
1 u = 801 ÷ 3 = 267
Volume of fruit punch the glass contained
= 1 u
= 267 mℓ
(b)
Amount of fruit punch that the cup contained more than the mug
= 2 u - 127
= (2 x 267) - 127
= 534 - 127
= 407 mℓ
Answer(s): (a) 267 mℓ; (b) 407 mℓ