Pamela purchased a bottle of persimmon syrup to make drinks. She used
15 of the syrup in April. She then used the remaining syrup in May and June in the ratio 1 : 6. Given that the amount of the persimmon syrup used in April was 0.12 ℓ more than that in May, how many millilitres of persimmon syrup did the bottle contain at first?
April |
May |
June |
Total |
1x7 |
4x7 |
5x7 |
|
1x4 |
6x4 |
|
7 u |
4 u |
24 u |
35 u |
Total volume of May and June is combined repeated identity. Make the total volume of May and June the same. LCM of 4 and 7 is 28.
Volume of more persimmon syrup in the bottle used in April than May
= 7 u - 4 u
= 3 u
3 u = 0.12
1 u = 0.12 ÷ 3 = 0.04
Amount of persimmon syrup in the bottle at first
= 35 u
= 35 x 0.04
= 1.4 ℓ
1 ℓ = 1000 mℓ
Amount of persimmon syrup in the bottle at first
= 1.4 x 1000
= 1400 mℓ
Answer(s): 1400 mℓ