Tom and Jerry were at a State Fair. They each got a ticket for the Merry Go Round. Tom got a funnel cake, and Jerry got a churro. Tom had a certificate for $3 off the cost. Jerry paid the rest, which came to $12. Each Merry Go Round ticket was $5, and a funnel cake was $3.50. What equation represents this problem? What was the cost for a churro?

Question

Tom and Jerry were at a State Fair. They each got a ticket for the Merry Go Round. Tom got a funnel cake, and Jerry got a churro. Tom had a certificate for $3 off the cost. Jerry paid the rest, which came to $12. Each Merry Go Round ticket was $5, and a funnel cake was $3.50. What equation represents this problem? What was the cost for a churro?

Answer 1

Let x be the cost for a churro.

The cost for a ticket for the Merry Go Round is 5.
Tom paid 5 - 3 = <<5-3=2>>2 dollars for a ticket for the Merry Go Round.
Tom paid 3.5 - 2 = <<3.5-2=1.5>>1.5 dollars for a funnel cake.
So the equation is 1.5 + x = 12.
Therefore, the cost for a churro is x = 12 - 1.5 = $<<12-1.5=10.5>>10.5. Answer: \boxed{10.5}.

Answer 2

Let's break down the information given in the problem and represent it with an equation.

1. Each Merry Go Round ticket costs $5.
2. Tom got a funnel cake, which costs $3.50.
3. Jerry paid the remaining cost after Tom's discount, which is $12.
4. Tom had a certificate that gave him $3 off the cost.

Let's define our variables:
Let x be the cost of a churro.

Now we can write the equation:
Tom's total cost = cost of Merry Go Round ticket + cost of funnel cake - Tom's discount

Tom's total cost = $5 + $3.50 - $3 = $5 + $0.50 = $5.50

Jerry paid the remaining cost, which is $12, so we can write another equation:
Jerry's total cost = cost of Merry Go Round ticket + cost of churro = $12

$5 + x = $12

Now we can solve this equation to find the cost of a churro.

Subtracting $5 from both sides of the equation, we get:
x = $12 - $5
x = $7

Therefore, the cost for a churro is $7.

Answer 3

To represent this problem with an equation, let's first determine the variables we need. Let:

T = cost of Tom's Merry Go Round ticket
J = cost of Jerry's Merry Go Round ticket
F = cost of Tom's funnel cake
C = cost of Jerry's churro

From the given information, we know that:
T + F - $3 = $5 (Tom's ticket cost plus the funnel cake minus the discount equals $5)
J + C = $12 (Jerry's ticket cost plus the churro equals $12)

To find the cost of a churro, we need to solve for C in the second equation.

Rearranging the equation, we have:
C = $12 − J

Since we don't have the value of J, we need to find it by solving the first equation.

Let's solve the first equation:
T + F − $3 = $5

Rearranging the equation, we have:
T + F = $5 + $3

T + F = $8

Now, we have two equations:
T + F = $8
J + C = $12

We can solve this system of equations using substitution or elimination to find the values of T, F, J, and C. However, since our goal is to find the cost of a churro, we can substitute the value of T + F from the first equation into the second equation.

Substituting T + F = $8 into J + C = $12, we have:
$8 + C = $12

To determine the value of C, we need to solve this equation.

Subtracting $8 from both sides, we get:
C = $12 − $8

C = $4

Therefore, the cost of a churro is $4.