Mrs. Klein made some tarts. She sold three fifths of them in the morning and one fourth the remainder in the afternoon. If she sold 200 more tarts in the morning than in the afternoon how many tarts did she make?

Question

Mrs. Klein made some tarts. She sold three  fifths of them in the morning and one fourth the remainder in the afternoon. If she sold 200 more tarts in the morning than in the afternoon how many tarts did she make?

Reiny · Accepted Answer

number of tarts ---- x
number sold in morning = 3x/5
leaving 2x/5
number sold in afternoon = (1/4)(2x/5) = x/10

3x/5 = x/10 + 200
times 10
6x = x + 2000
5x = 2000
x = 400

check:
sold in morning = (3/5)(400) = 240
leaving 160
she sold 1/4 of 160 or 40 in the afternoon
Did she sell 200 more in the morning? YES
Answer is correct!