Natalie made some biscuits. She sold ⁵₆ of them in the morning and ⁵₇ of the remainder in the afternoon. If she sold 90 more biscuits in the morning than in the afternoon, how many biscuits did she make altogether?

Morning	Remainder		Total
5x7	1x7		6x7
	Afternoon	Left
	5	2
35 u	5 u	2 u	42 u

Fraction of biscuits left after selling some in the morning
= 1 - ⁵₆ 
= ¹₆

Fraction of biscuits sold in the afternoon
= ⁵₇ x ¹₆
= ⁵₄₂

Make the denominators the same.
 ⁵₆ = ³⁵₄₂ 

Number of biscuits that Natalie sold in the morning = 35 u
Number of biscuits that Natalie sold in the afternoon = 5 u

Number of more biscuits that Natalie sold in the morning than in the afternoon
= 35 u - 5 u
= 30 u

30 u = 90

1 u = 90 ÷ 30 = 3

Total number of biscuits that Natalie made
= 42 u
= 42 x 3
= 126

Answer(s): 126