Claire poured 609 mℓ of fruit punch into a glass, a mug and a bottle. The glass contained 3 times as much fruit punch as the mug. The bottle contained 105 mℓ of fruit punch.
- How much fruit punch did the mug contain?
- How much more fruit punch did the glass contain than the bottle?
(a)
Volume of fruit punch that a glass contained = 3 u
Volume of fruit punch that a mug contained = 1 u
Volume of fruit punch that a bottle contained = 105 mℓ
Total volume of fruit punch
= 3 u + 1 u + 105
= 4 u + 105
4 u + 105 = 609
4 u = 609 - 105
4 u = 504
1 u = 504 ÷ 4 = 126
Volume of fruit punch the mug contained
= 1 u
= 126 mℓ
(b)
Amount of fruit punch that the glass contained more than the bottle
= 3 u - 105
= (3 x 126) - 105
= 378 - 105
= 273 mℓ
Answer(s): (a) 126 mℓ; (b) 273 mℓ