Violet poured 881 mℓ of fruit punch into a mug, a cup and a glass. The mug contained 4 times as much fruit punch as the cup. The glass contained 166 mℓ of fruit punch.
- How much fruit punch did the cup contain?
- How much more fruit punch did the mug contain than the glass?
(a)
Volume of fruit punch that a mug contained = 4 u
Volume of fruit punch that a cup contained = 1 u
Volume of fruit punch that a glass contained = 166 mℓ
Total volume of fruit punch
= 4 u + 1 u + 166
= 5 u + 166
5 u + 166 = 881
5 u = 881 - 166
5 u = 715
1 u = 715 ÷ 5 = 143
Volume of fruit punch the cup contained
= 1 u
= 143 mℓ
(b)
Amount of fruit punch that the mug contained more than the glass
= 4 u - 166
= (4 x 143) - 166
= 572 - 166
= 406 mℓ
Answer(s): (a) 143 mℓ; (b) 406 mℓ