One fourth of my money is given to charity. The remaining is diveded exactly into two equal parts and given to my sone and daughter each. If the money given to my son is $300, then how much money was given to charity

Respuesta :

Answer:

$200

Step-by-step explanation:

Given That:

1/4 = Charity

1/2 x 3/4 = 300

SO,

Find 3/4 = 300+300 = $600

If this is 3/4, then 1.4 = 600 divided by 3 = 200

Hope this helps

Answer:

$200

Step-by-step explanation:

Suppose the original total amount of money is x.

We know that 1/4 of the original money is given to charity, so we can write this as (1/4) * x.

After donating (1/4) * x of the money to charity, how much money do we have left? Simply subtract (1/4) * x from x:

x - (1/4) * x = (1 - 1/4) * x = (3/4) * x

This amount of money, (3/4) * x, is divided equally between two people: the son and the daughter. Since each person receives the same amount of money, we can divide (3/4) * x by 2 to obtain the value each will get:

(3/4) * x ÷ 2 = (3/8) * x   (remember when dividing fractions, "flip the guy and multiply")

We actually already know what (3/8) * x in monetary value is: $300. So, let's set these equal to solve for x:

(3/8) * x = 300

x = 300 ÷ (3/8) = 300 * (8/3) = $800

That means the original amount was $800. We'd like to find the amount of money given to charity, which is 1/4 of the original. So, multiply 800 by 1/4:

(1/4) * 800 = 200

The answer is thus $200.

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