Question

A sandwich costs $0.75 more than a container of milk. A customer buys 4 sandwiches and 4 containers of milk. The customer pays $7.00. What is the cost of a sandwich?

Answer 1

Let x be the cost of a sandwich

7 = 4x + 4 (x-0.75)
7 = 4x + 4x - 3
10 = 8x
8x = 10
x = 10/8
x = 1.25
A sandwich is $1.25

Answer 2

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:

`x=0.75+y` .............(1)

A customer buys 4 sandwiches and 4 containers of milk. The customer pays $7.00. The equation will be:

`4x+4y=7.00` ..............(2)

Now substitute the value of 'x' from equation 1 to equation 2, we get the value of 'y'.

`4x+4y=7.00`

`4(0.75+y)+4y=7.00`

`3+4y+4y=7.00`

`3+8y=7.00`

`8y=7.00-3`

`8y=4.00`

`y=(4.00)/(8)`

`y=0.5`

Now put the value of 'y' in equation 1, we get the value of 'x'.

`x=0.75+y`

`x=0.75+0.5`

`x=1.25`

The cost of sandwich = x = $1.25

The cost of container of milk = y = $0.5

Thus, the cost of sandwich is, $1.25