Jamie poured 820 mℓ of fruit punch into a bottle, a mug and a glass. The bottle contained 3 times as much fruit punch as the mug. The glass contained 140 mℓ of fruit punch.
- How much fruit punch did the mug contain?
- How much more fruit punch did the bottle contain than the glass?
(a)
Volume of fruit punch that a bottle contained = 3 u
Volume of fruit punch that a mug contained = 1 u
Volume of fruit punch that a glass contained = 140 mℓ
Total volume of fruit punch
= 3 u + 1 u + 140
= 4 u + 140
4 u + 140 = 820
4 u = 820 - 140
4 u = 680
1 u = 680 ÷ 4 = 170
Volume of fruit punch the mug contained
= 1 u
= 170 mℓ
(b)
Amount of fruit punch that the bottle contained more than the glass
= 3 u - 140
= (3 x 170) - 140
= 510 - 140
= 370 mℓ
Answer(s): (a) 170 mℓ; (b) 370 mℓ