Harper poured 835 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 147 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 = 147 mℓ
Total volume of fruit punch
= 3 u + 1 u + 147
= 4 u + 147
4 u + 147 = 835
4 u = 835 - 147
4 u = 688
1 u = 688 ÷ 4 = 172
Volume of fruit punch the mug contained
= 1 u
= 172 mℓ
(b)
Amount of fruit punch that the cup contained more than the bottle
= 3 u - 147
= (3 x 172) - 147
= 516 - 147
= 369 mℓ
Answer(s): (a) 172 mℓ; (b) 369 mℓ