Liam drank
12 of the juice in his juice bottle. He accidentally spilled
13 of the remaining juice. As a result, he had 160 mℓ of juice left in his juice bottle. How much juice did Liam have at first? Give your answer in mℓ.
Drank |
Remaining juice |
Total |
1x3 |
1x3 |
2x3 |
|
Spilled |
Left |
|
|
1x1 |
2x1 |
|
3 u |
1 u |
2 u |
6 u |
Fraction of remaining juice left after Liam spilled some
= 1 -
12=
12The volume of the remaining juice is the combined repeated identity. Make the volume of remaining juice the same. LCM of 1 and 3 is 3.
Volume of water left = 2 u
2 u = 160
1 u = 160 ÷ 2 = 80
Total volume of water that Liam had at first
= 6 u
= 6 x 80
= 480 mℓ
Answer(s): 480 mℓ