Question

a formula for 6 gallons of light green paint uses 3/8 gallon of white paint. Liam has 9/16 gallon does Liam have enough white paint to make 8 gallons of light green paint?

Answer 1

Given:

6 gallons of light green paint uses $\dfrac{3}{8}$ gallon of white paint.

Liam has $\dfrac{9}{16}$ gallon of white paint.

To find:

Whether Liam have enough white paint to make 8 gallons of light green paint.

Solution:

Here, 6 gallons of light green uses $\dfrac{3}{8}$ gallon of white paint.

So, the white paint for 1 gallon of light green $=\dfrac{\dfrac{3}{8}}{6}$

                                                                          $=dfrac{3}{8\times 6}$

                                                                          $=\dfrac{3}{48}$

                                                                          $=\dfrac{1}{16}$

It means, 1 gallons of light green uses $\dfrac{1}{16}$ gallon of white paint.

White paint for 8 gallon of light green $=8\times \dfrac{1}{16}$

                                                               $=\dfrac{8}{16}$

She has $\dfrac{9}{16}$ gallon of white paint, which is greater than  $=\dfrac{8}{16}$ gallons.

Therefore, Liam have enough white paint to make 8 gallons of light green paint.