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?

Respuesta :

Answer:

1 piece of fry

Step-by-step 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 [tex]x[/tex] amount of fries bought the restaurants will be the same price.

As you want to buy a milkshake and [tex]x[/tex] fries, the equation will be:-

For Restaurant 1

[tex]4+1\times x[/tex]

For Restaurant 2

[tex]3+2\times x[/tex]

Now, at [tex]x[/tex] amount of fries bought the restaurants will be the same price.

[tex]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[/tex]

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