Nora purchased a bottle of guava syrup to make drinks. She used
58 of the syrup in January. She then used the remaining syrup in February and March in the ratio 7 : 9. Given that the amount of the guava syrup used in January was 1.18 ℓ more than that in February, how many millilitres of guava syrup did the bottle contain at first?
January |
February |
March |
Total |
5x16 |
3x16 |
8x16 |
|
7x3 |
9x3 |
|
80 u |
21 u |
27 u |
128 u |
Total volume of February and March is combined repeated identity. Make the total volume of February and March the same. LCM of 3 and 16 is 48.
Volume of more guava syrup in the bottle used in January than February
= 80 u - 21 u
= 59 u
59 u = 1.18
1 u = 1.18 ÷ 59 = 0.02
Amount of guava syrup in the bottle at first
= 128 u
= 128 x 0.02
= 2.56 ℓ
1 ℓ = 1000 mℓ
Amount of guava syrup in the bottle at first
= 2.56 x 1000
= 2560 mℓ
Answer(s): 2560 mℓ