Zoey poured 856 mℓ of fruit punch into a bottle, a mug and a glass. The bottle contained 2 times as much fruit punch as the mug. The glass contained 166 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 = 2 u
Volume of fruit punch that a mug contained = 1 u
Volume of fruit punch that a glass contained = 166 mℓ
Total volume of fruit punch
= 2 u + 1 u + 166
= 3 u + 166
3 u + 166 = 856
3 u = 856 - 166
3 u = 690
1 u = 690 ÷ 3 = 230
Volume of fruit punch the mug contained
= 1 u
= 230 mℓ
(b)
Amount of fruit punch that the bottle contained more than the glass
= 2 u - 166
= (2 x 230) - 166
= 460 - 166
= 294 mℓ
Answer(s): (a) 230 mℓ; (b) 294 mℓ
