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.

Answer 1

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 $