Question

5-85. rachel is collecting donations for the local animal shelter. so far she has collected $245, which is 70% of what she hopes to collect. how much money does rachel plan to collect for the shelter? show your work.

Explanation:

Step1: Define the variable

Let \( x \) be the total amount of money Rachel plans to collect.

Step2: Set up the equation

We know that \( 70\% \) of \( x \) is \( \$245 \). In equation form, this is \( 0.70x = 245 \) (since \( 70\% = 0.70 \)).

Step3: Solve for \( x \)

To solve for \( x \), we divide both sides of the equation by \( 0.70 \): \( x=\frac{245}{0.70} \).
Calculating the right - hand side, \( \frac{245}{0.70}=350 \).

Answer:

Rachel plans to collect \(\$350\) for the shelter.