Wesley had some blueberry tarts and chocolate chip tarts. ⁵₈ of the number of blueberry tarts was equal to ¹₈ of the number of chocolate chip tarts. After Wesley made 160 more blueberry tarts, the number of blueberry tarts was ³₅ of the number of chocolate chip tarts. How many tarts did he have altogether in the end?
Make the numerators the same. LCM of 5 and 1 is 5.

58 of blueberry tarts = 1x58x5 of chocolate chip tarts

⁵₈ of blueberry tarts = ⁵₄₀ of chocolate chip tarts

	Blueberry tarts	Chocolate chip tarts	Total
Before	8 u	40 u
Change	+ 160
After	3x8 = 24 u	5x8 = 40 u	64 u

The number of chocolate chip tarts remains unchanged.  Make the number of chocolate chip tarts the same.  LCM of 5 and 40 is 40.

Number of more blueberry tarts made
= 24 u - 8 u
= 16 u

16 u = 160

1 u = 160 ÷ 16 = 10

Number of tarts that Wesley had in the end
= 24 u + 40 u
= 64 u
= 64 x 10
= 640

Answer(s): 640