50/50
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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1 solution
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