Natalie made some muffins. She sold ⁵₇ of them in the afternoon and ⁵₆ of the remainder in the evening. If she sold 50 more muffins in the afternoon than in the evening, how many muffins did she make altogether?

Afternoon	Remainder		Total
5x3	2x3		7x3
	Evening	Left
	5	1
15 u	5 u	1 u	21 u

Fraction of muffins left after selling some in the afternoon
= 1 - ⁵₇ 
= ²₇

Fraction of muffins sold in the evening
= ⁵₆ x ²₇
= ⁵₂₁

Make the denominators the same.
 ⁵₇ = ¹⁵₂₁ 

Number of muffins that Natalie sold in the afternoon = 15 u
Number of muffins that Natalie sold in the evening = 5 u

Number of more muffins that Natalie sold in the afternoon than in the evening
= 15 u - 5 u
= 10 u

10 u = 50

1 u = 50 ÷ 10 = 5

Total number of muffins that Natalie made
= 21 u
= 21 x 5
= 105

Answer(s): 105