Leah poured 738 mℓ of fruit punch into a mug, a cup and a glass. The mug contained 3 times as much fruit punch as the cup. The glass contained 146 mℓ of fruit punch.
- How much fruit punch did the cup contain?
- How much more fruit punch did the mug contain than the glass?
(a)
Volume of fruit punch that a mug contained = 3 u
Volume of fruit punch that a cup contained = 1 u
Volume of fruit punch that a glass contained = 146 mℓ
Total volume of fruit punch
= 3 u + 1 u + 146
= 4 u + 146
4 u + 146 = 738
4 u = 738 - 146
4 u = 592
1 u = 592 ÷ 4 = 148
Volume of fruit punch the cup contained
= 1 u
= 148 mℓ
(b)
Amount of fruit punch that the mug contained more than the glass
= 3 u - 146
= (3 x 148) - 146
= 444 - 146
= 298 mℓ
Answer(s): (a) 148 mℓ; (b) 298 mℓ