Sofia poured 947 mℓ of fruit punch into a glass, a cup and a mug. The glass contained 3 times as much fruit punch as the cup. The mug contained 103 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 = 3 u
Volume of fruit punch that a cup contained = 1 u
Volume of fruit punch that a mug contained = 103 mℓ
Total volume of fruit punch
= 3 u + 1 u + 103
= 4 u + 103
4 u + 103 = 947
4 u = 947 - 103
4 u = 844
1 u = 844 ÷ 4 = 211
Volume of fruit punch the cup contained
= 1 u
= 211 mℓ
(b)
Amount of fruit punch that the glass contained more than the mug
= 3 u - 103
= (3 x 211) - 103
= 633 - 103
= 530 mℓ
Answer(s): (a) 211 mℓ; (b) 530 mℓ
