Sebastian poured 964 mℓ of fruit punch into a mug, a bottle and a glass. The mug contained 4 times as much fruit punch as the bottle. The glass contained 129 mℓ of fruit punch.
- How much fruit punch did the bottle 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 bottle contained = 1 u
Volume of fruit punch that a glass contained = 129 mℓ
Total volume of fruit punch
= 4 u + 1 u + 129
= 5 u + 129
5 u + 129 = 964
5 u = 964 - 129
5 u = 835
1 u = 835 ÷ 5 = 167
Volume of fruit punch the bottle contained
= 1 u
= 167 mℓ
(b)
Amount of fruit punch that the mug contained more than the glass
= 4 u - 129
= (4 x 167) - 129
= 668 - 129
= 539 mℓ
Answer(s): (a) 167 mℓ; (b) 539 mℓ