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This problem trains for: SAT-I, AMC-8, GMAT.

In the Malatya province of Turkey, a farmer has projected that he would harvest 5 cases of apricots each morning. However, he managed to harvest 7 cases each morning for a total increase of 12 cases during a harvesting season that was 4 days shorter than originally planned. How many cases of apricots did he end up harvesting?

Denote the number of mornings he planned to use for harvesting by x. The number of mornings he actually spent harvesting was x-4. The total number of cases harvested was 7(x-4). This was larger than the number of cases planned by 12:

equation

Where from, x=20. The total number of cases harvested is:

equation