Julie poured 693 mℓ of fruit punch into a cup, a glass and a mug. The cup contained 2 times as much fruit punch as the glass. The mug contained 168 mℓ of fruit punch.
- How much fruit punch did the glass contain?
- How much more fruit punch did the cup contain than the mug?
(a)
Volume of fruit punch that a cup contained = 2 u
Volume of fruit punch that a glass contained = 1 u
Volume of fruit punch that a mug contained = 168 mℓ
Total volume of fruit punch
= 2 u + 1 u + 168
= 3 u + 168
3 u + 168 = 693
3 u = 693 - 168
3 u = 525
1 u = 525 ÷ 3 = 175
Volume of fruit punch the glass contained
= 1 u
= 175 mℓ
(b)
Amount of fruit punch that the cup contained more than the mug
= 2 u - 168
= (2 x 175) - 168
= 350 - 168
= 182 mℓ
Answer(s): (a) 175 mℓ; (b) 182 mℓ