Question

a math club earns $2,080 from selling 62 floor seats and 120 Stadium seats to a lip sync Talent competition at the floor seats cost twice as much as Stadium seats find the price of each ticket

Answer 1

Price of floor seat =$ 17 and

Price of stadium seats = $8.5

Explanation:

Let x represents the cost of floor seats and y represents the cost of stadium seats.

Then, from the given condition, we have;

Total cost for selling floor seats = 62x and the total cost for stadium seats = 120y.

Since, a math club earn $2,080.

⇒ 62x + 120y = 2080 .....[1]

Also, it is given that the floor seats cost twice as much as Stadium seats.

⇒ x = 2y .....[2]

Substitute this equation [2] in [1] we get;

`62(2y) + 120y = 2080`

Simplify:

124y + 120y =2080

Combine like terms;

244y =2080

Divide both sides by 144 we get;

`y = (2080)/(144) = 8.5`

⇒y = $8.5

Substitute this in [2] we get x;

x = 2(8.5) = 17

i.e, x = $ 17

Therefore, the price of floor seat is, $ 17 and the price of stadium seats is, $8.5