Riordan poured 892 mℓ of fruit punch into a glass, a cup and a mug. The glass contained 2 times as much fruit punch as the cup. The mug contained 94 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 = 2 u
Volume of fruit punch that a cup contained = 1 u
Volume of fruit punch that a mug contained = 94 mℓ
Total volume of fruit punch
= 2 u + 1 u + 94
= 3 u + 94
3 u + 94 = 892
3 u = 892 - 94
3 u = 798
1 u = 798 ÷ 3 = 266
Volume of fruit punch the cup contained
= 1 u
= 266 mℓ
(b)
Amount of fruit punch that the glass contained more than the mug
= 2 u - 94
= (2 x 266) - 94
= 532 - 94
= 438 mℓ
Answer(s): (a) 266 mℓ; (b) 438 mℓ
