Christian poured 1071 mℓ of fruit punch into a glass, a mug and a bottle. The glass contained 3 times as much fruit punch as the mug. The bottle contained 155 mℓ of fruit punch.
- How much fruit punch did the mug contain?
- How much more fruit punch did the glass contain than the bottle?
(a)
Volume of fruit punch that a glass contained = 3 u
Volume of fruit punch that a mug contained = 1 u
Volume of fruit punch that a bottle contained = 155 mℓ
Total volume of fruit punch
= 3 u + 1 u + 155
= 4 u + 155
4 u + 155 = 1071
4 u = 1071 - 155
4 u = 916
1 u = 916 ÷ 4 = 229
Volume of fruit punch the mug contained
= 1 u
= 229 mℓ
(b)
Amount of fruit punch that the glass contained more than the bottle
= 3 u - 155
= (3 x 229) - 155
= 687 - 155
= 532 mℓ
Answer(s): (a) 229 mℓ; (b) 532 mℓ
