Tommy poured 845 mℓ of fruit punch into a glass, a cup and a mug. The glass contained 4 times as much fruit punch as the cup. The mug contained 110 mℓ of fruit punch.
- How much fruit punch did the cup contain?
- How much more fruit punch did the glass contain than the mug?
(a)
Volume of fruit punch that a glass contained = 4 u
Volume of fruit punch that a cup contained = 1 u
Volume of fruit punch that a mug contained = 110 mℓ
Total volume of fruit punch
= 4 u + 1 u + 110
= 5 u + 110
5 u + 110 = 845
5 u = 845 - 110
5 u = 735
1 u = 735 ÷ 5 = 147
Volume of fruit punch the cup contained
= 1 u
= 147 mℓ
(b)
Amount of fruit punch that the glass contained more than the mug
= 4 u - 110
= (4 x 147) - 110
= 588 - 110
= 478 mℓ
Answer(s): (a) 147 mℓ; (b) 478 mℓ