Liam poured 613 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 115 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 = 115 mℓ
Total volume of fruit punch
= 2 u + 1 u + 115
= 3 u + 115
3 u + 115 = 613
3 u = 613 - 115
3 u = 498
1 u = 498 ÷ 3 = 166
Volume of fruit punch the mug contained
= 1 u
= 166 mℓ
(b)
Amount of fruit punch that the cup contained more than the glass
= 2 u - 115
= (2 x 166) - 115
= 332 - 115
= 217 mℓ
Answer(s): (a) 166 mℓ; (b) 217 mℓ
