Given:
6 gallons of light green paint uses [tex]\dfrac{3}{8}[/tex] gallon of white paint.
Liam has [tex]\dfrac{9}{16}[/tex] 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 [tex]\dfrac{3}{8}[/tex] gallon of white paint.
So, the white paint for 1 gallon of light green [tex]=\dfrac{\dfrac{3}{8}}{6}[/tex]
[tex]=dfrac{3}{8\times 6}[/tex]
[tex]=\dfrac{3}{48}[/tex]
[tex]=\dfrac{1}{16}[/tex]
It means, 1 gallons of light green uses [tex]\dfrac{1}{16}[/tex] gallon of white paint.
White paint for 8 gallon of light green [tex]=8\times \dfrac{1}{16}[/tex]
[tex]=\dfrac{8}{16}[/tex]
She has [tex]\dfrac{9}{16}[/tex] gallon of white paint, which is greater than [tex]=\dfrac{8}{16}[/tex] gallons.
Therefore, Liam have enough white paint to make 8 gallons of light green paint.
If Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint
Given that 6 gallons of light green paint use 3/8 gallon of white paint, this can be expressed as:
3/8 gallons of white paint = 6 gallons of light green
We are to determine if 9/16 gallons will be enough to make 8 gallons of light green paint. This can be expressed as
9/16 gallons of white paint = x
Divide both expressions
3/8 * 16/9 = 6/x
2/3 = 6/x
Cross multiply
2x = 3 * 6
2x = 18
x = 18/2
x = 9
This shows that if Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint
Learn more here: https://brainly.com/question/3796978
