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:
[tex]4x+2y=22.5[/tex]
Insert the known price value of y:
[tex]4x+2(0.75)=22.5\\\\4x+1.5=22.5[/tex]
Subtract 1.5 from both sides:
[tex]4x+1.5-1.5=22.5-1.5\\\\4x=21[/tex]
Divide both sides by 4:
[tex]\frac{4x}{4} =\frac{21}{4}\\\\ x=5.25[/tex]
The price of each sandwich is $5.25.
:Done
*Check:
Insert the values into the equation:
[tex]4(5.25)+2(0.75)=22.5\\\\21+1.5=22.5\\\\22.5=22.5[/tex]
The values make the equation true.