Japheth had some chocolate chip scones and cranberry scones. ⁵₉ of the number of chocolate chip scones was equal to ¹₇ of the number of cranberry scones. After Japheth made 76 more chocolate chip scones, the number of chocolate chip scones was ⁴₅ of the number of cranberry scones. How many scones did he have altogether in the end?
Make the numerators the same. LCM of 5 and 1 is 5.

59 of chocolate chip scones = 1x57x5 of cranberry scones

⁵₉ of chocolate chip scones = ⁵₃₅ of cranberry scones

	Chocolate chip scones	Cranberry scones	Total
Before	9 u	35 u
Change	+ 76
After	4x7 = 28 u	5x7 = 35 u	63 u

The number of cranberry scones remains unchanged.  Make the number of cranberry scones the same.  LCM of 5 and 35 is 35.

Number of more chocolate chip scones made
= 28 u - 9 u
= 19 u

19 u = 76

1 u = 76 ÷ 19 = 4

Number of scones that Japheth had in the end
= 28 u + 35 u
= 63 u
= 63 x 4
= 252

Answer(s): 252