Samuel poured 956 mℓ of fruit punch into a bottle, a cup and a glass. The bottle contained 2 times as much fruit punch as the cup. The glass contained 170 mℓ of fruit punch.
- How much fruit punch did the cup contain?
- How much more fruit punch did the bottle contain than the glass?
(a)
Volume of fruit punch that a bottle contained = 2 u
Volume of fruit punch that a cup contained = 1 u
Volume of fruit punch that a glass contained = 170 mℓ
Total volume of fruit punch
= 2 u + 1 u + 170
= 3 u + 170
3 u + 170 = 956
3 u = 956 - 170
3 u = 786
1 u = 786 ÷ 3 = 262
Volume of fruit punch the cup contained
= 1 u
= 262 mℓ
(b)
Amount of fruit punch that the bottle contained more than the glass
= 2 u - 170
= (2 x 262) - 170
= 524 - 170
= 354 mℓ
Answer(s): (a) 262 mℓ; (b) 354 mℓ
