Nathan poured 856 mℓ of fruit punch into a cup, a mug and a glass. The cup contained 2 times as much fruit punch as the mug. The glass contained 154 mℓ of fruit punch.
- How much fruit punch did the mug contain?
- How much more fruit punch did the cup contain than the glass?
(a)
Volume of fruit punch that a cup contained = 2 u
Volume of fruit punch that a mug contained = 1 u
Volume of fruit punch that a glass contained = 154 mℓ
Total volume of fruit punch
= 2 u + 1 u + 154
= 3 u + 154
3 u + 154 = 856
3 u = 856 - 154
3 u = 702
1 u = 702 ÷ 3 = 234
Volume of fruit punch the mug contained
= 1 u
= 234 mℓ
(b)
Amount of fruit punch that the cup contained more than the glass
= 2 u - 154
= (2 x 234) - 154
= 468 - 154
= 314 mℓ
Answer(s): (a) 234 mℓ; (b) 314 mℓ
