Jane purchased a bottle of syrup. She used
57 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 syrup used in June was 0.76 ℓ less than that in April, how many millilitres of syrup did the bottle contain at first?
April |
May |
June |
Total |
5x5 |
2x5 |
7x5 |
|
2x2 |
3x2 |
|
25 u |
4 u |
6 u |
35 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 less syrup syrup in the bottle used in June than April
= 25 u - 6 u
= 19 u
19 u = 0.76
1 u = 0.76 ÷ 19 = 0.04
Amount of syrup in the bottle at first
= 35 u
= 35 x 0.04
= 1.4 ℓ
1 ℓ = 1000 mℓ
Amount of syrup in the bottle at first
= 1.4 x 1000
= 1400 mℓ
Answer(s): 1400 mℓ