Answer : The cost of sandwich is, $1.25
Step-by-step explanation :
Let the cost of sandwich be 'x' and the cost of container of milk be, 'y'
A sandwich costs $0.75 more than a container of milk. The equation will be:
[tex]x=0.75+y[/tex] .............(1)
A customer buys 4 sandwiches and 4 containers of milk. The customer pays $7.00. The equation will be:
[tex]4x+4y=7.00[/tex] ..............(2)
Now substitute the value of 'x' from equation 1 to equation 2, we get the value of 'y'.
[tex]4x+4y=7.00[/tex]
[tex]4(0.75+y)+4y=7.00[/tex]
[tex]3+4y+4y=7.00[/tex]
[tex]3+8y=7.00[/tex]
[tex]8y=7.00-3[/tex]
[tex]8y=4.00[/tex]
[tex]y=\frac{4.00}{8}[/tex]
[tex]y=0.5[/tex]
Now put the value of 'y' in equation 1, we get the value of 'x'.
[tex]x=0.75+y[/tex]
[tex]x=0.75+0.5[/tex]
[tex]x=1.25[/tex]
The cost of sandwich = x = $1.25
The cost of container of milk = y = $0.5
Thus, the cost of sandwich is, $1.25
