Raeann 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 1 : 2. Given that the amount of the syrup used in June was 1.32 ℓ less than that in April, how many millilitres of syrup did the bottle contain at first?
April |
May |
June |
Total |
5x3 |
2x3 |
7x3 |
|
1x2 |
2x2 |
|
15 u |
2 u |
4 u |
21 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 3 is 6.
Volume of less syrup syrup in the bottle used in June than April
= 15 u - 4 u
= 11 u
11 u = 1.32
1 u = 1.32 ÷ 11 = 0.12
Amount of syrup in the bottle at first
= 21 u
= 21 x 0.12
= 2.52 ℓ
1 ℓ = 1000 mℓ
Amount of syrup in the bottle at first
= 2.52 x 1000
= 2520 mℓ
Answer(s): 2520 mℓ