Diana purchased a bottle of maple syrup. She used
37 of the maple syrup in March. She then used the remaining maple syrup in April and May in the ratio 2 : 3. Given that the amount of the maple syrup used in May was 0.09 ℓ less than that in March, how many millilitres of maple syrup did the bottle contain at first?
March |
April |
May |
Total |
3x5 |
4x5 |
7x5 |
|
2x4 |
3x4 |
|
15 u |
8 u |
12 u |
35 u |
Total volume of April and May is combined repeated identity. Make the total volume of April and May the same. LCM of 4 and 5 is 20.
Volume of less maple syrup syrup in the bottle used in May than March
= 15 u - 12 u
= 3 u
3 u = 0.09
1 u = 0.09 ÷ 3 = 0.03
Amount of maple syrup in the bottle at first
= 35 u
= 35 x 0.03
= 1.05 ℓ
1 ℓ = 1000 mℓ
Amount of maple syrup in the bottle at first
= 1.05 x 1000
= 1050 mℓ
Answer(s): 1050 mℓ