Question

Joanie wants to paint her room with a shade of paint that takes 5 parts green paint to 7 parts yellow paint. When she went to the paint store, the clerk told her she would need 3 gallons to paint the room. How many gallons of each color will the clerk have to get the 3 gallons in the right shade?

A. 1 gallon green paint, 2 gallons yellow paint
B. 1.5 gallons green paint, 1.5 gallons yellow paint
C. 2 gallons green paint, 1 gallon yellow paint
D. 2.5 gallons green paint, 0.5 gallons yellow paint

Answer 1

To find the correct amounts of green and yellow paint that Joanie needs, the total parts of paint are calculated and then the amount per part is determined. Multiplying parts by the amount per part gives 1.25 gallons of green and 1.75 gallons of yellow paint, which isn't listed in the provided options.

Step-by-step explanation:

Joanie has a specific shade of paint in mind for her room, which requires a mixture of 5 parts green paint to 7 parts yellow paint. If she needs 3 gallons of the final mix to paint her room, we have to calculate the amount of each color needed.

To do this, we combine the parts for both paints: 5 parts green + 7 parts yellow = 12 parts total.

Next, we divide the total amount of paint needed (3 gallons) by the total number of parts (12) to determine the amount for one part:

• 3 gallons ÷ 12 parts = 0.25 gallons per part

Now we multiply the amount per part by the number of parts for each color:

• Green: 5 parts × 0.25 gallons/part = 1.25 gallons
• Yellow: 7 parts × 0.25 gallons/part = 1.75 gallons

This isn't one of the options provided, suggesting a possible error in the question or the answer choices. However, using the process shown above, you can find the correct amounts of green and yellow paint needed to achieve the right shade.