Question

The Handler family spent a total of $26.75 on lunch. They bought 5 drinks and 3 sandwiches. Each drink costs $2.50 less than a sandwich. Which of the following equations could be used to find the cost of each sandwich?

Answer 1

`5(x-2.5)+3x=26.75\\x=4.90625$\\Where x is cost of sandwich.`

Explanation:

Let cost of 1 sandwich
`=x`

Let cost of 1 drink
`=y`

`3x+5y=26.75\\x-y=2.5 \Rightarrow y=x-2.5\\`

Now from the first equation

`3x+5(x-2.5)=26.75\\8x-12.5=26.75\\8x=39.25\\x=4.90625`