Hazel poured 916 mℓ of fruit punch into a cup, a mug and a glass. The cup contained 3 times as much fruit punch as the mug. The glass contained 116 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 = 3 u
Volume of fruit punch that a mug contained = 1 u
Volume of fruit punch that a glass contained = 116 mℓ
Total volume of fruit punch
= 3 u + 1 u + 116
= 4 u + 116
4 u + 116 = 916
4 u = 916 - 116
4 u = 800
1 u = 800 ÷ 4 = 200
Volume of fruit punch the mug contained
= 1 u
= 200 mℓ
(b)
Amount of fruit punch that the cup contained more than the glass
= 3 u - 116
= (3 x 200) - 116
= 600 - 116
= 484 mℓ
Answer(s): (a) 200 mℓ; (b) 484 mℓ