A group of students are going on a trip and the trip costs $36.50 per student which includes $9.50 for lunch, an entrance ticket and a gift coupon. The gift coupon costs
50% of the entrance ticket. What is the cost of one entrance ticket?

$18

Step-by-step explanation:

Let's subtract the lunch from the trip total to get the remainding cost!  

36.50 - 9.50 =  $27

Now let's set up an equation to figure out the amount of the entrance ticket and the gift coupon!

let's have x = the entrance ticket

27 = x + 1/2(x) > 1/2 is next to x, because the gift coupon is 1/2, or 50% of the entrance ticket! Now solve for x!

27 = 3/2x

(2/3) 27 = 3/2x (2/3)

18 = x, so the entrance ticket is $18!

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x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer