Emma poured 778 mℓ of fruit punch into a mug, a glass and a bottle. The mug contained 3 times as much fruit punch as the glass. The bottle contained 102 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 = 3 u
Volume of fruit punch that a glass contained = 1 u
Volume of fruit punch that a bottle contained = 102 mℓ
Total volume of fruit punch
= 3 u + 1 u + 102
= 4 u + 102
4 u + 102 = 778
4 u = 778 - 102
4 u = 676
1 u = 676 ÷ 4 = 169
Volume of fruit punch the glass contained
= 1 u
= 169 mℓ
(b)
Amount of fruit punch that the mug contained more than the bottle
= 3 u - 102
= (3 x 169) - 102
= 507 - 102
= 405 mℓ
Answer(s): (a) 169 mℓ; (b) 405 mℓ
