A mixture of green paint contains 9 pints of blue paint and 12 pints of yellow paint. To make the same shade of green paint using using 21 pints of blue paint, how much yellow would you need?

Respuesta :

Answer:

28 pints of yellow paint needed

Step-by-step explanation:

Mixture of green paint = 9 pints of blue paints : 12 pints of yellow paint

Blue paint : yellow paint = 9 : 12

To make the same shade of green paint using using 21 pints of blue paint, how much yellow would you need?

Let

x = pints of yellow pint needed

Blue paint : yellow paint = 21 : x

Equate the ratios to find x

Blue paint : yellow paint

9 : 12 = 21 : x

9/12 = 21/x

Cross multiplication

9 * x = 12 * 21

9x = 252

Divide both sides by 9

x = 252 / 9

= 28

pints of yellow pint needed = x

= 28