Question

To make a certain shade of green paint,mix 2/3 cup of yellow paint and 3/4 cup of blue paint. To make 17 cups of green paint using this mixture how many cups of yellow paint and blue paint will I need?

Answer 1

Answer:

You will need 8 cups of yellow paint

Step-by-step explanation:

The ratio between the cup of yellow paint to the cup of blue paint to

make a certain shade of green is 2/3 : 3/4

That means to make a certain the shade of green you must mix 2/3 cup

of yellow paint and 3/4 cup of blue paint

We need to know how many cups of yellow paint and blue paint will

need to make 17 cups of a green paint

∵    yellow paint    :    blue paint    :    green paint

         2/3               :        3/4            :     2/3 + 3/4

∵ $\frac{2}{3}+\frac{3}{4}=\frac{2*4+3*3}{3*4}=\frac{8+9}{12}=\frac{17}{12}$

∴ The ratio between the three colors is

   $\frac{2}{3}:\frac{3}{4}:\frac{17}{12}$

∵ The number of green cups is 17

∴ $\frac{2}{3}:\frac{3}{4}:\frac{17}{12}$ = yellow : blue : 17

By using cross multiplication between yellow paint and green paint

∴ $\frac{2}{3}*17=\frac{17}{12}$ * yellow cups

Divide both sides by $\frac{17}{12}$

∴ yellow cups = $\frac{\frac{2*17}{3}}{\frac{17}{12}}=8$

∴ You will need 8 cups of yellow paint