Riordan had some apple scones and strawberry scones. ²₃ of the number of apple scones was equal to ¹₅ of the number of strawberry scones. After Riordan made 20 more apple scones, the number of apple scones was ¹₂ of the number of strawberry scones. How many scones did he have altogether in the end?
Make the numerators the same. LCM of 2 and 1 is 2.

23 of apple scones = 1x25x2 of strawberry scones

²₃ of apple scones = ²₁₀ of strawberry scones

	Apple scones	Strawberry scones	Total
Before	3 u	10 u
Change	+ 20
After	1x5 = 5 u	2x5 = 10 u	15 u

The number of strawberry scones remains unchanged.  Make the number of strawberry scones the same.  LCM of 2 and 10 is 10.

Number of more apple scones made
= 5 u - 3 u
= 2 u

2 u = 20

1 u = 20 ÷ 2 = 10

Number of scones that Riordan had in the end
= 5 u + 10 u
= 15 u
= 15 x 10
= 150

Answer(s): 150