Natalie poured 604 mℓ of fruit punch into a glass, a cup and a bottle. The glass contained 2 times as much fruit punch as the cup. The bottle contained 160 mℓ of fruit punch.
- How much fruit punch did the cup contain?
- How much more fruit punch did the glass contain than the bottle?
(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 bottle contained = 160 mℓ
Total volume of fruit punch
= 2 u + 1 u + 160
= 3 u + 160
3 u + 160 = 604
3 u = 604 - 160
3 u = 444
1 u = 444 ÷ 3 = 148
Volume of fruit punch the cup contained
= 1 u
= 148 mℓ
(b)
Amount of fruit punch that the glass contained more than the bottle
= 2 u - 160
= (2 x 148) - 160
= 296 - 160
= 136 mℓ
Answer(s): (a) 148 mℓ; (b) 136 mℓ