Kylie purchased a bottle of maple syrup. She used
79 of the maple syrup in April. She then used the remaining maple syrup in May and June in the ratio 1 : 2. Given that the amount of the maple syrup used in June was 1.02 ℓ less than that in April, how many millilitres of maple syrup did the bottle contain at first?
April |
May |
June |
Total |
7x3 |
2x3 |
9x3 |
|
1x2 |
2x2 |
|
21 u |
2 u |
4 u |
27 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 maple syrup syrup in the bottle used in June than April
= 21 u - 4 u
= 17 u
17 u = 1.02
1 u = 1.02 ÷ 17 = 0.06
Amount of maple syrup in the bottle at first
= 27 u
= 27 x 0.06
= 1.62 ℓ
1 ℓ = 1000 mℓ
Amount of maple syrup in the bottle at first
= 1.62 x 1000
= 1620 mℓ
Answer(s): 1620 mℓ