Vaidev had some cherry scones and apple scones. ⁵₇ of the number of cherry scones was equal to ¹₅ of the number of apple scones. After Vaidev made 15 more cherry scones, the number of cherry scones was ²₅ of the number of apple scones. How many scones did he have altogether in the end?
Make the numerators the same. LCM of 5 and 1 is 5.

57 of cherry scones = 1x55x5 of apple scones

⁵₇ of cherry scones = ⁵₂₅ of apple scones

	Cherry scones	Apple scones	Total
Before	7 u	25 u
Change	+ 15
After	2x5 = 10 u	5x5 = 25 u	35 u

The number of apple scones remains unchanged.  Make the number of apple scones the same.  LCM of 5 and 25 is 25.

Number of more cherry scones made
= 10 u - 7 u
= 3 u

3 u = 15

1 u = 15 ÷ 3 = 5

Number of scones that Vaidev had in the end
= 10 u + 25 u
= 35 u
= 35 x 5
= 175

Answer(s): 175