Dylan had some strawberry tarts and vanilla tarts. ⁴₇ of the number of strawberry tarts was equal to ¹₇ of the number of vanilla tarts. After Dylan made 70 more strawberry tarts, the number of strawberry tarts was ³₄ of the number of vanilla tarts. How many tarts did he have altogether in the end?
Make the numerators the same. LCM of 4 and 1 is 4.

47 of strawberry tarts = 1x47x4 of vanilla tarts

⁴₇ of strawberry tarts = ⁴₂₈ of vanilla tarts

	Strawberry tarts	Vanilla tarts	Total
Before	7 u	28 u
Change	+ 70
After	3x7 = 21 u	4x7 = 28 u	49 u

The number of vanilla tarts remains unchanged.  Make the number of vanilla tarts the same.  LCM of 4 and 28 is 28.

Number of more strawberry tarts made
= 21 u - 7 u
= 14 u

14 u = 70

1 u = 70 ÷ 14 = 5

Number of tarts that Dylan had in the end
= 21 u + 28 u
= 49 u
= 49 x 5
= 245

Answer(s): 245