QR question Looking for easier way to calculate this

  • Thread starter Thread starter 299678
  • Start date Start date
This forum made possible through the generous support of SDN members, donors, and sponsors. Thank you.
2

299678

Q. Pauline wants to paint the ceiling of her loft a color which is a mixture of green and white in a ratio of 4:3 respectively. She has 1 1/2 gallons of green paint and 1 gallon of white paint. How many square feet can she paint if one quart of paint covers 120 square feet?
 
Need Green:white=4qt:3qt. Pauline has green:white=6qt:4qt >4:3 so she has extra green. total paint she can make 4(white)/(3/7)=28/3 qt. total area=120*(28/3)=1120?

may not be the way you want though.

Q. Pauline wants to paint the ceiling of her loft a color which is a mixture of green and white in a ratio of 4:3 respectively. She has 1 1/2 gallons of green paint and 1 gallon of white paint. How many square feet can she paint if one quart of paint covers 120 square feet?
 
Here's the way I'd approach this problem. Well they tell you the ratio is 4:3 of green:white and you are given amounts of paint you have for green and white. You can kinda think of this as a limiting reagent problem. If you are given amounts of white and green paint, realize that unless they are in a ratio of 4:3 (which these amounts are not), one color is going to limit the amount of the other color. In this case, 1 gallon of white paint can be completely used up with 1 1/3 gallons of green paint (using the 4:3 ratio). From here, take 7/3 gallons (the total amount of paint used) and convert to quarts, then multiply by 120. That's the simplest way I can think of to approach it.
 
Top