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.