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. 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
To solve this problem, first, let's create a tape diagram to represent the ratio of blue paint to green paint.
Since the ratio of blue to green paint is 2:1, we can represent it as follows:
Blue Paint: Green Paint
2:1
Next, we can divide the diagram into three equal parts, representing a total of 6 gallons of paint.
```
___ ___ ___
| | | |
| | | |
‾‾‾ ‾‾‾ ‾‾‾
```
Now, we know that two parts of the tape diagram represent blue paint, and one part represents green paint. Therefore, we can divide the tape diagram like this:
```
___ ___ ___
| | | |
| | | |
‾‾‾ ‾‾‾ ‾‾‾
B B G
```
We know that 6 gallons of paint are represented by the whole diagram. Therefore, the two parts representing blue paint are equal to the amount of blue paint Angelina needs to buy.
Now, let's calculate the amount of blue paint needed.
2 parts (B) represents the blue paint needed.
2 parts = 6 gallons
To find the amount of blue paint needed for 1 part, we divide both sides of the equation by 2.
2 parts ÷ 2 = 6 gallons ÷ 2
1 part = 3 gallons
Thus, Angelina needs to buy 3 gallons of blue paint.