Christian poured 635 mℓ of fruit punch into a mug, a cup and a bottle. The mug contained 3 times as much fruit punch as the cup. The bottle contained 167 mℓ of fruit punch.
- How much fruit punch did the cup contain?
- How much more fruit punch did the mug contain than the bottle?
(a)
Volume of fruit punch that a mug contained = 3 u
Volume of fruit punch that a cup contained = 1 u
Volume of fruit punch that a bottle contained = 167 mℓ
Total volume of fruit punch
= 3 u + 1 u + 167
= 4 u + 167
4 u + 167 = 635
4 u = 635 - 167
4 u = 468
1 u = 468 ÷ 4 = 117
Volume of fruit punch the cup contained
= 1 u
= 117 mℓ
(b)
Amount of fruit punch that the mug contained more than the bottle
= 3 u - 167
= (3 x 117) - 167
= 351 - 167
= 184 mℓ
Answer(s): (a) 117 mℓ; (b) 184 mℓ
