Question

you spend $39.36 to purchase 4 movie tickets. Each movie cost the same amount and was purchased at 20% off original price. write and solve an equation​

Answer 1

To solve the problem, set up an equation using x as the original price of each ticket. Simplify the equation by multiplying each term by 100 to remove the percentages. Divide both sides of the equation by (1 - 0.2) to solve for x.

Step-by-step explanation:

To solve this problem, we can set up an equation. Let x be the original price of each movie ticket.

The equation would be: 4x - 20% of 4x = $39.36

We can simplify the equation by multiplying each term by 100 to get rid of the percentages. The equation becomes: 4x - 0.2 * 4x = 39.36

Next, we simplify further by factoring out the common term 4x: 4x(1 - 0.2) = 39.36

Now, we can solve for x by dividing both sides of the equation by (1 - 0.2): 4x = 39.36 / 0.8

x = 9.84

Therefore, the original price of each movie ticket was $9.84.