Marion purchased a bottle of detergent. She used
57 of the detergent in March. She then used the remaining detergent in April and May in the ratio 1 : 2. Given that the amount of the detergent used in May was 0.99 ℓ less than that in March, how many millilitres of detergent did the bottle contain at first?
March |
April |
May |
Total |
5x3 |
2x3 |
7x3 |
|
1x2 |
2x2 |
|
15 u |
2 u |
4 u |
21 u |
Total volume of April and May is combined repeated identity. Make the total volume of April and May the same. LCM of 2 and 3 is 6.
Volume of less detergent syrup in the bottle used in May than March
= 15 u - 4 u
= 11 u
11 u = 0.99
1 u = 0.99 ÷ 11 = 0.09
Amount of detergent in the bottle at first
= 21 u
= 21 x 0.09
= 1.89 ℓ
1 ℓ = 1000 mℓ
Amount of detergent in the bottle at first
= 1.89 x 1000
= 1890 mℓ
Answer(s): 1890 mℓ