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Two student groups went to an amusement park on the same day. Group 1 bought 9 tickets and received a $120 discount. Group 2 bought 3 tickets and received a $30 discount. Both groups spent the same total amount of money on tickets. The price of each ticket was the same. What was the cost of each ticket?.

Respuesta :

Equating both equations since they spent the same amount, the cost of ticket is $15

Equations

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.

In this problem, we can set up an equation for the number of tickets to the number of discount received.

  • x = cost of ticket

9x - 120 = 3x - 30

The cost of the ticket (x) is

Collect like terms

9x - 3x = -30 + 120

6x = 90

x = 15

The cost the ticket is $15

Learn more on equations here;

https://brainly.com/question/24368895

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