Angelina is painting her room. She wants a very specific shade of bright blue paint, so she mixes blue and green paint in a ratio of 2:1

Question

. If she needs 6 gallons of paint, how many gallons of blue paint should she buy? Use a tape diagram to help organize your thinking.(1 point)
gallons

Answer 1

To determine how many gallons of blue paint Angelina should buy, we can use the ratio of blue to green paint that she wants to mix, which is 2:1.

Step 1: Define the parts of the ratio.

In the ratio 2:1, the total parts are:

• Blue paint: 2 parts
• Green paint: 1 part

This makes a total of \(2 + 1 = 3\) parts.

Step 2: Determine the amount for each part.

Since Angelina needs a total of 6 gallons of paint, we can find out how much each part represents.

\[ \text{Amount per part} = \frac{6 \text{ gallons}}{3 \text{ parts}} = 2 \text{ gallons per part} \]

Step 3: Calculate the amount of blue paint.

Now we can find out how many gallons of blue paint she needs:

\[ \text{Blue paint} = 2 \text{ parts} \times 2 \text{ gallons per part} = 4 \text{ gallons} \]

Thus, Angelina should buy 4 gallons of blue paint.