Hazel purchased a bottle of pomegranate syrup to make drinks. She used
25 of the syrup in April. She then used the remaining syrup in May and June in the ratio 5 : 8. Given that the amount of the pomegranate syrup used in April was 0.44 ℓ more than that in May, how many millilitres of pomegranate syrup did the bottle contain at first?
April |
May |
June |
Total |
2x13 |
3x13 |
5x13 |
|
5x3 |
8x3 |
|
26 u |
15 u |
24 u |
65 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 13 is 39.
Volume of more pomegranate syrup in the bottle used in April than May
= 26 u - 15 u
= 11 u
11 u = 0.44
1 u = 0.44 ÷ 11 = 0.04
Amount of pomegranate syrup in the bottle at first
= 65 u
= 65 x 0.04
= 2.6 ℓ
1 ℓ = 1000 mℓ
Amount of pomegranate syrup in the bottle at first
= 2.6 x 1000
= 2600 mℓ
Answer(s): 2600 mℓ