David poured 710 mℓ of fruit punch into a glass, a bottle and a cup. The glass contained 4 times as much fruit punch as the bottle. The cup contained 155 mℓ of fruit punch.
- How much fruit punch did the bottle contain?
- How much more fruit punch did the glass contain than the cup?
(a)
Volume of fruit punch that a glass contained = 4 u
Volume of fruit punch that a bottle contained = 1 u
Volume of fruit punch that a cup contained = 155 mℓ
Total volume of fruit punch
= 4 u + 1 u + 155
= 5 u + 155
5 u + 155 = 710
5 u = 710 - 155
5 u = 555
1 u = 555 ÷ 5 = 111
Volume of fruit punch the bottle contained
= 1 u
= 111 mℓ
(b)
Amount of fruit punch that the glass contained more than the cup
= 4 u - 155
= (4 x 111) - 155
= 444 - 155
= 289 mℓ
Answer(s): (a) 111 mℓ; (b) 289 mℓ