Claire poured 924 mℓ of fruit punch into a mug, a glass and a cup. The mug contained 3 times as much fruit punch as the glass. The cup contained 164 mℓ of fruit punch.
- How much fruit punch did the glass contain?
- How much more fruit punch did the mug contain than the cup?
(a)
Volume of fruit punch that a mug contained = 3 u
Volume of fruit punch that a glass contained = 1 u
Volume of fruit punch that a cup contained = 164 mℓ
Total volume of fruit punch
= 3 u + 1 u + 164
= 4 u + 164
4 u + 164 = 924
4 u = 924 - 164
4 u = 760
1 u = 760 ÷ 4 = 190
Volume of fruit punch the glass contained
= 1 u
= 190 mℓ
(b)
Amount of fruit punch that the mug contained more than the cup
= 3 u - 164
= (3 x 190) - 164
= 570 - 164
= 406 mℓ
Answer(s): (a) 190 mℓ; (b) 406 mℓ