Jackson poured 1187 mℓ of fruit punch into a cup, a mug and a glass. The cup contained 4 times as much fruit punch as the mug. The glass contained 107 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 = 4 u
Volume of fruit punch that a mug contained = 1 u
Volume of fruit punch that a glass contained = 107 mℓ
Total volume of fruit punch
= 4 u + 1 u + 107
= 5 u + 107
5 u + 107 = 1187
5 u = 1187 - 107
5 u = 1080
1 u = 1080 ÷ 5 = 216
Volume of fruit punch the mug contained
= 1 u
= 216 mℓ
(b)
Amount of fruit punch that the cup contained more than the glass
= 4 u - 107
= (4 x 216) - 107
= 864 - 107
= 757 mℓ
Answer(s): (a) 216 mℓ; (b) 757 mℓ