Betty purchased a bottle of pear syrup to make drinks. She used
35 of the syrup in January. She then used the remaining syrup in February and March in the ratio 4 : 5. Given that the amount of the pear syrup used in January was 0.76 ℓ more than that in February, how many millilitres of pear syrup did the bottle contain at first?
January |
February |
March |
Total |
3x9 |
2x9 |
5x9 |
|
4x2 |
5x2 |
|
27 u |
8 u |
10 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 9 is 18.
Volume of more pear syrup in the bottle used in January than February
= 27 u - 8 u
= 19 u
19 u = 0.76
1 u = 0.76 ÷ 19 = 0.04
Amount of pear syrup in the bottle at first
= 45 u
= 45 x 0.04
= 1.8 ℓ
1 ℓ = 1000 mℓ
Amount of pear syrup in the bottle at first
= 1.8 x 1000
= 1800 mℓ
Answer(s): 1800 mℓ