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Problem of the Week
Problem E
Coffee Sales

For the months of April, May and June, Coffee Only sold coffee for \(\$2.50\) per cup.

In May, they sold \(y\%\) more cups of coffee than in April, where \(y\geq 0\). In June, they sold \(y\%\) fewer cups of coffee than in May.

Their records for sales in May were misplaced. They sold \(\$31\,250\) worth of coffee in April. In June they sold \(\$30\,800\) worth of coffee.

Determine the total value of the coffee they sold in May.