Question

Lisa bought 4 ham sandwiches and 2 bags of chips for $22.50. If chips cost $0.75 per bag, how much did each sandwich cost?

Answer 1

Each sandwich costs $5.25

Explanation:

Let the price for the sandwiches be represented by x and the chips by y. Make an equation in which the sum of the prices for each is equal to the total:

`4x+2y=22.5`

Insert the known price value of y:

`4x+2(0.75)=22.5\\\\4x+1.5=22.5`

Subtract 1.5 from both sides:

`4x+1.5-1.5=22.5-1.5\\\\4x=21`

Divide both sides by 4:

`(4x)/(4) =(21)/(4)\\\\ x=5.25`

The price of each sandwich is $5.25.

:Done

*Check:

Insert the values into the equation:

`4(5.25)+2(0.75)=22.5\\\\21+1.5=22.5\\\\22.5=22.5`

The values make the equation true.