Beth & her grandmother paid $23 tickets to a play. An adult ticket costs $6.50 more than a child's ticket. What was the cost of Beth's ticket?

I see $8.25 as Beth's ticket and

$14.75 as grandma's ticket.

check: 14.75+8.25 = 23
14.75-8.25 = 6.5

I don't know if grade 5 can handle

x + x+6.5 = 23, can they?

thanks Reiny! this really helps!

14.75 IS GRANDMAS AND 8.25 IS BETHS

14.75

To find the cost of Beth's ticket, we need to set up a system of equations based on the given information.

Let's assume the cost of a child's ticket is x dollars. According to the information given, an adult ticket costs $6.50 more than a child's ticket. Therefore, the cost of an adult ticket is x + $6.50.

Now we can set up the equation to represent the total cost of the tickets. The total cost is the sum of the cost of Beth's ticket and her grandmother's ticket, which is $23.

x + (x + $6.50) = $23

Now we can simplify the equation and solve for x:

2x + $6.50 = $23
2x = $23 - $6.50
2x = $16.50
x = $16.50 / 2
x = $8.25

So, the cost of a child's ticket is $8.25. Since we want to find the cost of Beth's ticket, which is an adult ticket, we need to add $6.50 to the cost of the child's ticket:

Cost of Beth's ticket = $8.25 + $6.50 = $14.75

Therefore, the cost of Beth's ticket is $14.75.