Jean purchased a bottle of kiwi syrup to make drinks. She used
49 of the syrup in January. She then used the remaining syrup in February and March in the ratio 1 : 6. Given that the amount of the kiwi syrup used in January was 0.69 ℓ more than that in February, how many millilitres of kiwi syrup did the bottle contain at first?
January |
February |
March |
Total |
4x7 |
5x7 |
9x7 |
|
1x5 |
6x5 |
|
28 u |
5 u |
30 u |
63 u |
Total volume of February and March is combined repeated identity. Make the total volume of February and March the same. LCM of 5 and 7 is 35.
Volume of more kiwi syrup in the bottle used in January than February
= 28 u - 5 u
= 23 u
23 u = 0.69
1 u = 0.69 ÷ 23 = 0.03
Amount of kiwi syrup in the bottle at first
= 63 u
= 63 x 0.03
= 1.89 ℓ
1 ℓ = 1000 mℓ
Amount of kiwi syrup in the bottle at first
= 1.89 x 1000
= 1890 mℓ
Answer(s): 1890 mℓ