Bonnie and some friends went to an amusement park. They bought five of the same lunches and 3 desserts and spent a total of $60.25 on the food. Each dessert costs $5.25 less than one of the lunches. Write an equation that can be usedto find the cost of lunch. Solve the equation to find the cost of a lunch.

Let the variable be the cost of the lunch: x

so they bought 5 lunches: 5x

deserts are cheaper than lunches; they cost:

x-5.25

So together they paid:

5x+3 * (x-5.25) = 60.25

(we know how much they paid, so we can make an equation)

Let's remove the bracket:

5x+3*x-15.75=60.25

8x-15.75=60.25//we add 15.75 to both sides:

8x=76

and divide by 8:

x=9.5

So each lunch costs 9.5 dollars!