Evelyn poured 1040 mℓ of fruit punch into a mug, a glass and a bottle. The mug contained 2 times as much fruit punch as the glass. The bottle contained 158 mℓ of fruit punch.
- How much fruit punch did the glass contain?
- How much more fruit punch did the mug contain than the bottle?
(a)
Volume of fruit punch that a mug contained = 2 u
Volume of fruit punch that a glass contained = 1 u
Volume of fruit punch that a bottle contained = 158 mℓ
Total volume of fruit punch
= 2 u + 1 u + 158
= 3 u + 158
3 u + 158 = 1040
3 u = 1040 - 158
3 u = 882
1 u = 882 ÷ 3 = 294
Volume of fruit punch the glass contained
= 1 u
= 294 mℓ
(b)
Amount of fruit punch that the mug contained more than the bottle
= 2 u - 158
= (2 x 294) - 158
= 588 - 158
= 430 mℓ
Answer(s): (a) 294 mℓ; (b) 430 mℓ