he sold 3/5 of the cookies in the morning. He sold 1/4 of the remainder in the afternoon.150 more cookies were sold in the morning than in the afternoon ,how many cookies did he sold

Question

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Answer 1

He sold 3/5 of the cookies. That leaves 2/5. He sold a quarter of these: (1/4)(2/5)=1/10. If we call the number of cookies C, then 3C/5 is the number sold in the morning, and C/10 were sold in the afternoon. 3C/5-C/10=150 cookies. So C(3/5-1/10)=150, and C(6/10-1/10)=150, C/2=150 so C=300 cookies.

Check: 3/5 of 300=180, leaving 120, and 120/4=30 were sold in the afternoon. This is 150 less than what was sold in the morning.

The number of cookies sold was 180+30=210 (out of 300).