Joseph poured 778 mℓ of fruit punch into a cup, a bottle and a glass. The cup contained 4 times as much fruit punch as the bottle. The glass contained 118 mℓ of fruit punch.
- How much fruit punch did the bottle contain?
- How much more fruit punch did the cup contain than the glass?
(a)
Volume of fruit punch that a cup contained = 4 u
Volume of fruit punch that a bottle contained = 1 u
Volume of fruit punch that a glass contained = 118 mℓ
Total volume of fruit punch
= 4 u + 1 u + 118
= 5 u + 118
5 u + 118 = 778
5 u = 778 - 118
5 u = 660
1 u = 660 ÷ 5 = 132
Volume of fruit punch the bottle contained
= 1 u
= 132 mℓ
(b)
Amount of fruit punch that the cup contained more than the glass
= 4 u - 118
= (4 x 132) - 118
= 528 - 118
= 410 mℓ
Answer(s): (a) 132 mℓ; (b) 410 mℓ