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?

We know that she has 245, which is 70% of the total. Which can be written as 70/100. We know that 245 is that same percentage of an unknown value.

We can say then, [tex]\frac{245}{x} = \frac{70}{100} [/tex]

We need to cross multiply [tex]24500= 70x[/tex]

If we solve for x we get, [tex]x=350 [/tex]

Answer Link

psm22415 psm22415 · Answer 2 · 2022-01-16T04:31:26+01:00

Rachel's plan to collect for the shelter is $350.

Given that

Rachel is collecting donations for the local animal shelter.

So far she has collected$245, which is 70% of what she hopes to collect.

We have to determine

How much money does Rachel plan to collect for the shelter?

According to the question

Let the money Rachel plan to collect for the shelter be x.

Out of 100%, she collects only 70% money which is $245.

Here, 100% is equal to 1 and 70% is equal to 0.70.

Then,

The money does Rachel plan to collect for the shelter is,

[tex]\rm \dfrac{x}{1} = \dfrac{245}{0.70}\\\\x = \dfrac{245}{0.70}\\\\x = 350[/tex]

Hence, Rachel's plan to collect for the shelter is $350.

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