To solve the problem, we need to use algebraic equations. Let's start by defining some variables:
- Let x be the number of hours they played.
- Let L be the total amount Lola spent.
- Let D be the total amount Dillon spent.
Using this notation, we can translate the problem into two equations:
L = 1x + 5
D = 2x + 1
The first equation represents Lola's expenses, which include $5 for shoe rental plus $1 per hour played. The second equation represents Dillon's expenses, which include $1 for shoe rental plus $2 per hour played.
We know that they played for the same number of hours and spent the same amount, so we can set L equal to D and solve for x:
L = D
1x + 5 = 2x + 1
x = 4
Now that we know they played for 4 hours, we can substitute x=4 into either equation to find out how much they spent:
L = 1(4) + 5 = $9
D = 2(4) + 1 = $9
Therefore, Lola and Dillon each spent $9 on bowling.