Answer:
The money Rachael plan to collect for the shelter is <u>$350</u>.
Step-by-step explanation:
Given:
Rachel is collecting donations for the local animal shelter.
So far she has collected $245, which is 70% of what she hopes to collect.
Now, to find the money Rachael plan to collect for the shelter.
Let the total amount Rachael plan to collect be
.
Amount she collected = $245.
Percentage of amount she collected = 70%.
Now, to get the amount Rachael plan to collect we put an equation:
![70\%\ of\ x=\$245.](https://tex.z-dn.net/?f=70%5C%25%5C%20of%5C%20x%3D%5C%24245.)
⇒ ![\frac{70}{100} \times x=245](https://tex.z-dn.net/?f=%5Cfrac%7B70%7D%7B100%7D%20%5Ctimes%20x%3D245)
⇒ ![0.70\times x=245](https://tex.z-dn.net/?f=0.70%5Ctimes%20x%3D245)
⇒ ![0.70x=245](https://tex.z-dn.net/?f=0.70x%3D245)
<em>Dividing both sides by 0.70 we get:</em>
⇒ ![x=\$350.](https://tex.z-dn.net/?f=x%3D%5C%24350.)
Therefore, the money Rachael plan to collect for the shelter is $350.