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.

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Answer:

The money Rachael plan to collect for the shelter is $350.

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 [tex]x[/tex].

Amount she collected = $245.

Percentage of amount she collected = 70%.

Now, to get the amount Rachael plan to collect we put an equation:

[tex]70\%\ of\ x=\$245.[/tex]

⇒ [tex]\frac{70}{100} \times x=245[/tex]

⇒ [tex]0.70\times x=245[/tex]

⇒ [tex]0.70x=245[/tex]

Dividing both sides by 0.70 we get:

⇒ [tex]x=\$350.[/tex]

Therefore, the money Rachael plan to collect for the shelter is $350.

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