Emma poured 995 mℓ of fruit punch into a mug, a glass and a cup. The mug contained 4 times as much fruit punch as the glass. The cup contained 165 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 = 4 u
Volume of fruit punch that a glass contained = 1 u
Volume of fruit punch that a cup contained = 165 mℓ
Total volume of fruit punch
= 4 u + 1 u + 165
= 5 u + 165
5 u + 165 = 995
5 u = 995 - 165
5 u = 830
1 u = 830 ÷ 5 = 166
Volume of fruit punch the glass contained
= 1 u
= 166 mℓ
(b)
Amount of fruit punch that the mug contained more than the cup
= 4 u - 165
= (4 x 166) - 165
= 664 - 165
= 499 mℓ
Answer(s): (a) 166 mℓ; (b) 499 mℓ
