Ivory purchased a bottle of detergent. She used
37 of the detergent in February. She then used the remaining detergent in March and April in the ratio 2 : 3. Given that the amount of the detergent used in April was 0.21 ℓ less than that in February, how many millilitres of detergent did the bottle contain at first?
February |
March |
April |
Total |
3x5 |
4x5 |
7x5 |
|
2x4 |
3x4 |
|
15 u |
8 u |
12 u |
35 u |
Total volume of March and April is combined repeated identity. Make the total volume of March and April the same. LCM of 4 and 5 is 20.
Volume of less detergent syrup in the bottle used in April than February
= 15 u - 12 u
= 3 u
3 u = 0.21
1 u = 0.21 ÷ 3 = 0.07
Amount of detergent in the bottle at first
= 35 u
= 35 x 0.07
= 2.45 ℓ
1 ℓ = 1000 mℓ
Amount of detergent in the bottle at first
= 2.45 x 1000
= 2450 mℓ
Answer(s): 2450 mℓ