Good morning/afternoon! Can you help please?


I have a bag of marbles, where each marble is pink or yellow. The ratio of pink marbles to yellow marbles is 3:5 If there are total of 72 marbles in the bag, how many are pink?

Respuesta :

Answer:

i think its 27.

Step-by-step explanation:

Let the number of pink marbles  =  p

Let the number of yellow marbles  =  y

The ratio of pink marbles to yellow marbles is 3:5 . This means...

the number of pink marbles / the number of yellow marbles  =  3 / 5

p / y  =  3 / 5

There are a total of 72 marbles in the bag. So...

the number of pink marbles  +  the number of yellow marbles  =  72

p + y  =  72

y  =  72 - p

Now we can use this value of  y  in the first equation and solve for  p .

p / (72 - p)  =  3 / 5

Multiply both sides of the equation by  5 .

5p / (72 - p)  =  3

Multiply both sides by  (72 - p)

5p  =  3(72 - p)

5p  =  216 - 3p

Add  3p  to both sides.

8p  =  216

Divide both sides by  8 .

p  =  27

the number of pink marbles  =  27