We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with $x$ , $x+1$ , $x+2$ , and $x+3$ respectively since each one is 1 point more than the last.

Add all of these values up and set it all equal to $78$ .

$x+x+1+x+2+x+3=78$

Now, simplify.

$4x+6=78$

Subtract $6$ on both sides.

$\begin{aligned}4x+6-6&=78-6\\4x&=72\end{aligned}$

Divide both sides by $4$ .

$\begin{aligned}\frac{4x}{4}&=\frac{72}{4}\\x&=\boxed{18}\end{aligned}$

Since Louise's score is $x$ , the answer is $18$ .

<h3>Double-checking</h3>

To verify our answer, add the point totals $18$ , $19$ , $20$ , and $21$ .

This equals $78$ , so we can be sure the answer is correct.

5 0

2 years ago

Please help answer need help pllllease

Natalka [10]

The answer is 24 I think

3 0

3 years ago