Kimberly made some scones. She sold ⁴₅ of them in the afternoon and ²₇ of the remainder in the evening. If she sold 312 more scones in the afternoon than in the evening, how many scones did she make altogether?

Afternoon	Remainder		Total
4x7	1x7		5x7
	Evening	Left
	2	5
28 u	2 u	5 u	35 u

Fraction of scones left after selling some in the afternoon
= 1 - ⁴₅ 
= ¹₅

Fraction of scones sold in the evening
= ²₇ x ¹₅
= ²₃₅

Make the denominators the same.
 ⁴₅ = ²⁸₃₅ 

Number of scones that Kimberly sold in the afternoon = 28 u
Number of scones that Kimberly sold in the evening = 2 u

Number of more scones that Kimberly sold in the afternoon than in the evening
= 28 u - 2 u
= 26 u

26 u = 312

1 u = 312 ÷ 26 = 12

Total number of scones that Kimberly made
= 35 u
= 35 x 12
= 420

Answer(s): 420