Barbara purchased a bottle of kiwi syrup to make drinks. She used
79 of the syrup in January. She then used the remaining syrup in February and March in the ratio 2 : 3. Given that the amount of the kiwi syrup used in January was 1.86 ℓ more than that in February, how many millilitres of kiwi syrup did the bottle contain at first?
January |
February |
March |
Total |
7x5 |
2x5 |
9x5 |
|
2x2 |
3x2 |
|
35 u |
4 u |
6 u |
45 u |
Total volume of February and March is combined repeated identity. Make the total volume of February and March the same. LCM of 2 and 5 is 10.
Volume of more kiwi syrup in the bottle used in January than February
= 35 u - 4 u
= 31 u
31 u = 1.86
1 u = 1.86 ÷ 31 = 0.06
Amount of kiwi syrup in the bottle at first
= 45 u
= 45 x 0.06
= 2.7 ℓ
1 ℓ = 1000 mℓ
Amount of kiwi syrup in the bottle at first
= 2.7 x 1000
= 2700 mℓ
Answer(s): 2700 mℓ