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

first one because it can't have a fraction in it

step-by-step explanation:

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol