Arica planned to donate a total of $89 to four charities. She wanted to give twice as much to Charity A as she did to Charity B, but only one-fourth as much to Charity A as to Charity C. It worked out best if she gave $12 to Charity D. How much (in dollars) did she give to each of Charities A, B, and C

Arica gave to each charity $14, $7 and $ 56 respectively.

Step-by-step explanation:

Arica planned to donate a total $89 to four charities.

She donated twice as much to Charity A as she did to charity B.

Let she donated $x to charity A.

So, she donated $  to charity B

But she donated only as much to charity A as to charity C.

So, she donated $4x  to charity C.

She gave $12 to charity D.

So she total donated

According to the problem,

⇒x=14

The amount that she gave to charity A is $14

The amount that she gave to charity B is=

                                                                    =$7

The amount that she gave to charity C is= 4x

                                                                    =$(4×14)

                                                                    =$56

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