Opal purchased a bottle of peach syrup to make drinks. She used
35 of the syrup in April. She then used the remaining syrup in May and June in the ratio 1 : 4. Given that the amount of the peach syrup used in April was 1.56 ℓ more than that in May, how many millilitres of peach syrup did the bottle contain at first?
April |
May |
June |
Total |
3x5 |
2x5 |
5x5 |
|
1x2 |
4x2 |
|
15 u |
2 u |
8 u |
25 u |
Total volume of May and June is combined repeated identity. Make the total volume of May and June the same. LCM of 2 and 5 is 10.
Volume of more peach syrup in the bottle used in April than May
= 15 u - 2 u
= 13 u
13 u = 1.56
1 u = 1.56 ÷ 13 = 0.12
Amount of peach syrup in the bottle at first
= 25 u
= 25 x 0.12
= 3 ℓ
1 ℓ = 1000 mℓ
Amount of peach syrup in the bottle at first
= 3 x 1000
= 3000 mℓ
Answer(s): 3000 mℓ