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After a florist sold 3/5 of the roses and 1/4 of the lilies, the number of roses and lilies left unsold were the same. There were 49 more roses than lilies at first. How many roses and lilies were there altogether at first?

 Sep 25, 2022
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L==Lilies

R==Roses ==L  +  49

 

2 / 5 [L  +  49] ==3 / 4L

2 / 5L  +  19.6 ==3 / 4L

3 / 4L - 2 / 5L ==19.6

7 / 20L == 19.6

L ==19.6 / (7 / 20) ==19.6  x  20 / 7 ==392 / 7 ==56 Lilies at first

56 + 49 ==105 Roses at first.

 Sep 25, 2022

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