Avery poured 1174 mℓ of fruit punch into a bottle, a mug and a cup. The bottle contained 4 times as much fruit punch as the mug. The cup contained 109 mℓ of fruit punch.
- How much fruit punch did the mug contain?
- How much more fruit punch did the bottle contain than the cup?
(a)
Volume of fruit punch that a bottle contained = 4 u
Volume of fruit punch that a mug contained = 1 u
Volume of fruit punch that a cup contained = 109 mℓ
Total volume of fruit punch
= 4 u + 1 u + 109
= 5 u + 109
5 u + 109 = 1174
5 u = 1174 - 109
5 u = 1065
1 u = 1065 ÷ 5 = 213
Volume of fruit punch the mug contained
= 1 u
= 213 mℓ
(b)
Amount of fruit punch that the bottle contained more than the cup
= 4 u - 109
= (4 x 213) - 109
= 852 - 109
= 743 mℓ
Answer(s): (a) 213 mℓ; (b) 743 mℓ