Question

The price for 2 student tickets and 4 adult tickets to a play is $50. Adult tickets are $5 more than student tickets. write an the equation

Answer 1

2x + 4y = $50

x = $5, and y = $10

Explanation:

let the price of student's ticket be represented by $x, and that of adult by $y. So that:

2x + 4y = $50 ................ 1

But, given that adult tickets are $5 more that student tickets.

i.e y = x + $5 ................. 2

Substitute equation 2 into 1, to have;

2x + 4(x + $5) = $50

2x + 4x + $20 = $50

6x = $30

x = $5

From equation 2,

y = 5 + 5

= $10

Therefore, the price of student tickets is $5 and adult tickets is $10.