Question

Bonnie and some friends went to an amusement park. They bought rve of thesame lunches and 3 desserts and spent a total of $60.25 on the food. Eachdessert costs $5.25 less than one of the lunches.a. Detine a variable: Write an equation that can be used to find the cost oflunch.b. Solve the equation to find the cost of a lunch.en5.2

Answer 1

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!