Jason mixes cans of yellow and blue paint to make green paint. The the ratio of the number of cans of yellow paint the number of cans of blue paint is 4:3. Jason needs to make more paint. He has two cans of yellow paint, how many cans of blue paint does he need to make the same shade of green.​

Respuesta :

Answer:

One and a half cans of blue paint is needed for 2 cans of yellow paint.

Step-by-step explanation:

Let the number of blue paint needed be 'x'.

Given:

The ratio of number of yellow paint to blue paint = 4 : 3

So, for every 4 cans of yellow paint, 3 cans of blue paint is needed.

Therefore, for every 2 cans of yellow paint, 'x' cans of blue paint is needed.

Setting up a proportion and solving by cross multiplication method, we get:

[tex]\frac{4}{3}=\frac{2}{x}\\\\4\times x=3\times 2\\\\4x=6\\\\x=\frac{6}{4}\\\\x=1.5[/tex]

Therefore, one and a half cans of blue paint is needed for 2 cans of yellow paint.