There were 170 tickets sold in 1 day and amount money made $1475.00. Adult tickets cost $10.00 and children $7.00. How many adult and children tickets were sold.
a = number of adult tickets
b = number of children tickets
There were 170 tickets sold in 1 day.
This mean :
a + c = 170 Subtract c to both sides
a + c - c = 170 - c
a = 170 - c
Money made = 1475 $
1475 $ = a * 10 $ + c * 7 $
1475 = 10 a + 7 c
10 a + 7 c = 1475
10 ( 170 - c ) + 7 c = 1475
1700 - 10 c + 7 c = 1475
1700 - 3 c = 1475 Subtract 1475 to both sides
1700 - 3 c - 1475 = 1475 - 1475
225 - 3 c = 0 Add 3 c to both sides
225 - 3 c + 3 c = 3 c
225 = 3 c
3 c = 225 Divide both sides by 3
3 c / 3 = 225 / 3
c = 75
a = 170 - c
a = 170 - 75 = 95
Proof :
a * 10 $ + c * 7 $ = 1475 $
10 a + 7 c = 1475
10 * 95 + 7 * 75 = 950 + 525 = 1475 $