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Maksim231197 [3]
3 years ago
6

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?

Mathematics
1 answer:
alexandr1967 [171]3 years ago
5 0

Answer:

Each sandwich costs $5.25

Step-by-step 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:

\frac{4x}{4} =\frac{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.

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