To solve this problem using a tape diagram, we can draw a rectangle divided into three parts representing the 2:1 ratio.
Using a pencil and ruler, draw a rectangle on a piece of paper. Divide the rectangle into three equal parts, and label the leftmost part as "blue paint," the middle part as "green paint," and the rightmost part as "blue paint" again.
Now, we know that for every 2 parts of blue paint, we need 1 part of green paint. Let's represent 1 part as a gallon, so each part of blue paint represents 2 gallons.
Since Angelina needs 6 gallons of paint in total, we can divide the rectangle into six equal parts, where each part represents one gallon.
Now, we need to find out how many gallons of blue paint Angelina should buy. Since each part of blue paint represents 2 gallons, we can count how many parts of blue paint are needed to get a total of 6 gallons.
Counting the parts, we can see that Angelina needs 3 parts of blue paint.
Therefore, Angelina should buy 3 gallons of blue paint.
Question
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.(1 point)
3 answers
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According to the given ratio of 2:1 for blue paint to green paint, it means that for every 2 parts of blue paint, we need 1 part of green paint. Thus, the total number of parts is 2 + 1 = 3.
Since Angelina needs 6 gallons of paint, we can divide it into 3 equal parts, where each part represents a specific number of gallons.
Drawing a tape diagram, let's represent the parts as equal sections of the rectangle. Divide the rectangle into three sections, labeling them as "blue paint," "green paint," and "blue paint" again from left to right.
To determine the number of gallons per part, divide the total number of gallons (6) by the number of parts (3). So, each part represents 6/3 = 2 gallons.
Since Angelina wants to find out the number of gallons of blue paint she should buy, we need to determine the number of parts representing blue paint. As each part represents 2 gallons, Angelina needs 2 * 2 = 4 gallons of blue paint.
Hence, Angelina should buy 4 gallons of blue paint.
According to the given ratio of 2:1 for blue paint to green paint, it means that for every 2 parts of blue paint, we need 1 part of green paint. Thus, the total number of parts is 2 + 1 = 3.
Since Angelina needs 6 gallons of paint, we can divide it into 3 equal parts, where each part represents a specific number of gallons.
Drawing a tape diagram, let's represent the parts as equal sections of the rectangle. Divide the rectangle into three sections, labeling them as "blue paint," "green paint," and "blue paint" again from left to right.
To determine the number of gallons per part, divide the total number of gallons (6) by the number of parts (3). So, each part represents 6/3 = 2 gallons.
Since Angelina wants to find out the number of gallons of blue paint she should buy, we need to determine the number of parts representing blue paint. As each part represents 2 gallons, Angelina needs 2 * 2 = 4 gallons of blue paint.
Hence, Angelina should buy 4 gallons of blue paint.