Dana purchased a bottle of persimmon syrup to make drinks. She used
35 of the syrup in February. She then used the remaining syrup in March and April in the ratio 1 : 6. Given that the amount of the persimmon syrup used in February was 0.95 ℓ more than that in March, how many millilitres of persimmon syrup did the bottle contain at first?
February |
March |
April |
Total |
3x7 |
2x7 |
5x7 |
|
1x2 |
6x2 |
|
21 u |
2 u |
12 u |
35 u |
Total volume of March and April is combined repeated identity. Make the total volume of March and April the same. LCM of 2 and 7 is 14.
Volume of more persimmon syrup in the bottle used in February than March
= 21 u - 2 u
= 19 u
19 u = 0.95
1 u = 0.95 ÷ 19 = 0.05
Amount of persimmon syrup in the bottle at first
= 35 u
= 35 x 0.05
= 1.75 ℓ
1 ℓ = 1000 mℓ
Amount of persimmon syrup in the bottle at first
= 1.75 x 1000
= 1750 mℓ
Answer(s): 1750 mℓ