Dana purchased a bottle of pear syrup to make drinks. She used
59 of the syrup in April. She then used the remaining syrup in May and June in the ratio 5 : 9. Given that the amount of the pear syrup used in April was 1 ℓ more than that in May, how many millilitres of pear syrup did the bottle contain at first?
April |
May |
June |
Total |
5x7 |
4x7 |
9x7 |
|
5x2 |
9x2 |
|
35 u |
10 u |
18 u |
63 u |
Total volume of May and June is combined repeated identity. Make the total volume of May and June the same. LCM of 4 and 14 is 28.
Volume of more pear syrup in the bottle used in April than May
= 35 u - 10 u
= 25 u
25 u = 1
1 u = 1 ÷ 25 = 0.04
Amount of pear syrup in the bottle at first
= 63 u
= 63 x 0.04
= 2.52 ℓ
1 ℓ = 1000 mℓ
Amount of pear syrup in the bottle at first
= 2.52 x 1000
= 2520 mℓ
Answer(s): 2520 mℓ