Question

Plzzz help

Answer 1

Answer: Each ticket costs $32

=========================================================

Explanation:

Let x be the cost of one ticket. If four people buy a ticket each, then they collectively spend a total of 4x dollars for those tickets. Add on 4*3 = 12 dollars from the fact that they bought the ice cream, and we arrive at the expression 4x+12. This is the total amount spent in dollars for the tickets and ice cream combined.

Set this expression equal to 140 and solve for x

4x+12 = 140

4x = 140-12

4x = 128

x = 128/4

x = 32

This says that each ticket costs $32

If one ticket costs $32, then four of them cost a total of 4*32 = 128 dollars. Add on the $12 spent on the ice cream to get 128+12 = 140, which helps verify we have the correct ticket price.

Another way to verify is to replace x with 32 in the original equation we set up, then simplify like so

4x+12 = 140

4*32+12 = 140

128+12 = 140

140 = 140

This is very similar to the previous verification technique used earlier.