Emily poured 1052 mℓ of fruit punch into a bottle, a mug and a glass. The bottle contained 4 times as much fruit punch as the mug. The glass contained 157 mℓ of fruit punch.
- How much fruit punch did the mug contain?
- How much more fruit punch did the bottle contain than the glass?
(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 glass contained = 157 mℓ
Total volume of fruit punch
= 4 u + 1 u + 157
= 5 u + 157
5 u + 157 = 1052
5 u = 1052 - 157
5 u = 895
1 u = 895 ÷ 5 = 179
Volume of fruit punch the mug contained
= 1 u
= 179 mℓ
(b)
Amount of fruit punch that the bottle contained more than the glass
= 4 u - 157
= (4 x 179) - 157
= 716 - 157
= 559 mℓ
Answer(s): (a) 179 mℓ; (b) 559 mℓ
