Madison and Ella are painting their bedroom walls pink. The clerk at the home store calculated that they would need two gallons of paint to cover their walls. They have 3/8 gallon of red paint and 1 5/12 gallons of white paint that they want to mix together to make pink. Will they have enough to cover the walls after they mix the red and white paint together

Respuesta :

Answer:

Madison and Ella do not have enough paint to cover the walls after they mix the red and white paint together.

Step-by-step explanation:

Volume of red paint = [tex]\frac{3}{8} gallon[/tex]

Volume of white paint = [tex]1\frac{5}{12} gallon=\frac{17}{12} gallon[/tex]

Total volume of pink paint by mixing red and white :

[tex]\frac{3}{8} gallon+\frac{17}{12} gallon[/tex]

[tex]=\frac{3\times 12+17\times 8}{8\times 12}=\frac{172}{96}=\frac{43}{24} gal[/tex]

[tex]\frac{43}{24} gallon\approx 1.79 gallon[/tex]

Volume of total paint required by them as calculated by clerk = 2 gallons

[tex]2 gallons>\frac{43}{24}[/tex]

So, this means that Madison and Ella do not have enough paint to cover the walls after they mix the red and white paint together.