Stella poured 917 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 101 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 = 101 mℓ
Total volume of fruit punch
= 2 u + 1 u + 101
= 3 u + 101
3 u + 101 = 917
3 u = 917 - 101
3 u = 816
1 u = 816 ÷ 3 = 272
Volume of fruit punch the glass contained
= 1 u
= 272 mℓ
(b)
Amount of fruit punch that the cup contained more than the mug
= 2 u - 101
= (2 x 272) - 101
= 544 - 101
= 443 mℓ
Answer(s): (a) 272 mℓ; (b) 443 mℓ