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 but? Use a tape diagram to help organize your thinking
To determine the number of gallons of blue paint Angelina should buy, we need to use the given ratio of 2:1. Let's represent the ratio using a tape diagram.
We can start by drawing two sections for blue paint and one section for green paint. Since we need a total of 6 gallons of paint, we can divide the tape diagram into six equal parts.
Each blue section represents 2 gallons, and the green section represents 1 gallon.
So, if we fill all six parts, it would look like this:
[blue section] [blue section] [green section] [blue section] [blue section] [green section]
Now, to find how many gallons of blue paint Angelina should buy, we count the number of blue sections in the diagram. There are 4 blue sections painted in total.
Therefore, Angelina should buy 4 gallons of blue paint.
To find out how many gallons of blue paint Angelina should buy, we need to understand the ratio of blue to green paint she is using.
The ratio given is 2:1, which means for every 2 parts of blue paint, there is 1 part of green paint.
Now, let's use a tape diagram to visualize this ratio:
Blue Green
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In the diagram, we have two sections for blue paint and one section for green paint.
Since Angelina needs a total of 6 gallons of paint, we can divide this into three equal parts:
Blue Green
_______________
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Each section represents 2 gallons of blue paint, and together they make 4 gallons. The remaining section represents 1 gallon of green paint.
Therefore, Angelina should buy 4 gallons of blue paint.