select the correct answer. matt paid $55 at a restaurant. that amount included a 10% tip. what was the check…

select the correct answer. matt paid $55 at a restaurant. that amount included a 10% tip. what was the check amount before the tip?\na. $40\nb. $43\nc. $45\nd. $50\ne. $52

select the correct answer. matt paid $55 at a restaurant. that amount included a 10% tip. what was the check amount before the tip?\na. $40\nb. $43\nc. $45\nd. $50\ne. $52

Answer

Explanation:

Step1: Let the check amount before tip be $x$.

The total amount paid is the sum of the check amount and the tip. The tip is 10% of $x$, so the total amount paid is $x + 0.1x=1.1x$.

Step2: Set up the equation.

We know that the total amount paid is $55$, so $1.1x = 55$.

Step3: Solve for $x$.

Divide both sides of the equation by 1.1: $x=\frac{55}{1.1}=50$.

Answer:

D. $50$