Lucas poured 865 mℓ of fruit punch into a glass, a mug and a bottle. The glass contained 4 times as much fruit punch as the mug. The bottle contained 150 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 = 4 u
Volume of fruit punch that a mug contained = 1 u
Volume of fruit punch that a bottle contained = 150 mℓ
Total volume of fruit punch
= 4 u + 1 u + 150
= 5 u + 150
5 u + 150 = 865
5 u = 865 - 150
5 u = 715
1 u = 715 ÷ 5 = 143
Volume of fruit punch the mug contained
= 1 u
= 143 mℓ
(b)
Amount of fruit punch that the glass contained more than the bottle
= 4 u - 150
= (4 x 143) - 150
= 572 - 150
= 422 mℓ
Answer(s): (a) 143 mℓ; (b) 422 mℓ