Question

You want to buy a milkshake and some fries. You look up prices for two different places.

Restaurant 1 sells milkshakes for $4 and fries for $1. Restaurant 2 sells milkshakes for $3 and fries

for $2. At what amount of fries bought will the restaurants be the same price?

Answer 1

1 piece of fry

Explanation:

Given:

You want to buy a milkshake and some fries. You look up prices for two different places.

Restaurant 1 sells milkshakes for $4 and fries for $1. Restaurant 2 sells milkshakes for $3 and fries for $2.

Question asked:

At what amount of fries bought will the restaurants be the same price?

Solution;

Let at
`x` amount of fries bought the restaurants will be the same price.

As you want to buy a milkshake and
`x` fries, the equation will be:-

For Restaurant 1

`4+1* x`

For Restaurant 2

`3+2* x`

Now, at
`x` amount of fries bought the restaurants will be the same price.

`4+x=3+2x\\ \\ By\ subtracting\ both\ sides\ by\ 3\\ \\ 4-3+x=3-3+2x\\ \\ 4-3+x=2x\\ \\ 1+x=2x\\ \\ By\ subtracting\ both\ sides\ by\ x\\ \\ 1+x-x=2x-x\\ \\ 1=x`

Therefore, at 1 piece of fry bought the restaurants will be the same price.