50/50 tickets were sold at 3 different rates: $1.00 for 1, $2.00 for 3, and $5.00 for 10.

619 tickets were sold and the total sales was $330.00.

There were 5 more tickets sold at the 1st rate than there were at the 2nd rate.

Find the number that were sold at the 1st rate.

The answer is 32.

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x + y + z = 619

1 x + 2/3 y + 1/2 z = 330

x = y + 5

y + 5 + y + z = 619, 2 y + z = 614

y + 5 + 2/3 y + 1/2 z = 330, 5/3 y + 1/2 z = 325

y = 27, x = 32