Anthony poured 837 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 105 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 = 105 mℓ
Total volume of fruit punch
= 3 u + 1 u + 105
= 4 u + 105
4 u + 105 = 837
4 u = 837 - 105
4 u = 732
1 u = 732 ÷ 4 = 183
Volume of fruit punch the mug contained
= 1 u
= 183 mℓ
(b)
Amount of fruit punch that the cup contained more than the glass
= 3 u - 105
= (3 x 183) - 105
= 549 - 105
= 444 mℓ
Answer(s): (a) 183 mℓ; (b) 444 mℓ
