Answer:
$8.50
Step-by-step explanation:
Angela goes to a restaurant four times, and each time she orders a salad. We do not yet know the cost of the salad, so let's represent that as an algebraic expression.
Let [tex]s[/tex] equal the cost of the salad.
[tex]4s[/tex]
With that being said, we are also told each of those four times, she left a $5 tip. Let's multiply that by the number of times she went to restaurant (4), and add the product to our expression.
[tex]5(4)=20[/tex]
[tex]4s+20[/tex]
We're then told that she spent a total of $54 over the span of these four trips. Let's make an equation.
[tex]54=4s+20[/tex]
Subtract [tex]20[/tex] from both sides of the equation:
[tex]34=4s[/tex]
Divide by the coefficient of [tex]s[/tex], which is [tex]4[/tex] (I flip my equations if the variable is on the right):
[tex]s=8.5[/tex]
Therefore, the cost of each salad is $8.50.
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Check your work by substituting [tex]8.5[/tex] into the initial equation:
[tex]54=4(8.5)+20[/tex]
[tex]54=34+20[/tex]
[tex]54=54[/tex]
It's correct!
