Andrew poured 993 mℓ of fruit punch into a cup, a mug and a bottle. The cup contained 3 times as much fruit punch as the mug. The bottle contained 157 mℓ of fruit punch.
- How much fruit punch did the mug contain?
- How much more fruit punch did the cup contain than the bottle?
(a)
Volume of fruit punch that a cup contained = 3 u
Volume of fruit punch that a mug contained = 1 u
Volume of fruit punch that a bottle contained = 157 mℓ
Total volume of fruit punch
= 3 u + 1 u + 157
= 4 u + 157
4 u + 157 = 993
4 u = 993 - 157
4 u = 836
1 u = 836 ÷ 4 = 209
Volume of fruit punch the mug contained
= 1 u
= 209 mℓ
(b)
Amount of fruit punch that the cup contained more than the bottle
= 3 u - 157
= (3 x 209) - 157
= 627 - 157
= 470 mℓ
Answer(s): (a) 209 mℓ; (b) 470 mℓ
