Isabella poured 1188 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 162 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 = 162 mℓ
Total volume of fruit punch
= 2 u + 1 u + 162
= 3 u + 162
3 u + 162 = 1188
3 u = 1188 - 162
3 u = 1026
1 u = 1026 ÷ 3 = 342
Volume of fruit punch the glass contained
= 1 u
= 342 mℓ
(b)
Amount of fruit punch that the cup contained more than the mug
= 2 u - 162
= (2 x 342) - 162
= 684 - 162
= 522 mℓ
Answer(s): (a) 342 mℓ; (b) 522 mℓ
