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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.

Respuesta :

mathshelp30
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!

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