Sabrina purchased a bottle of guava syrup to make drinks. She used
58 of the syrup in April. She then used the remaining syrup in May and June in the ratio 2 : 3. Given that the amount of the guava syrup used in April was 0.76 ℓ more than that in May, how many millilitres of guava syrup did the bottle contain at first?
April |
May |
June |
Total |
5x5 |
3x5 |
8x5 |
|
2x3 |
3x3 |
|
25 u |
6 u |
9 u |
40 u |
Total volume of May and June is combined repeated identity. Make the total volume of May and June the same. LCM of 3 and 5 is 15.
Volume of more guava syrup in the bottle used in April than May
= 25 u - 6 u
= 19 u
19 u = 0.76
1 u = 0.76 ÷ 19 = 0.04
Amount of guava syrup in the bottle at first
= 40 u
= 40 x 0.04
= 1.6 ℓ
1 ℓ = 1000 mℓ
Amount of guava syrup in the bottle at first
= 1.6 x 1000
= 1600 mℓ
Answer(s): 1600 mℓ