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)
gallons
To find out how many gallons of blue paint Angelina should buy, we can start by setting up a tape diagram.
Let's represent the 6 gallons of paint she needs with a total length. We can divide this total length into three equal parts: two parts for blue paint and one part for green paint.
In this case, each part represents 6/3 = 2 gallons of paint.
So, Angelina needs 2 parts of blue paint, which would be equal to 2 x 2 = <<2*2=4>>4 gallons of blue paint.
Therefore, Angelina should buy 4 gallons of blue paint.
Breanna plays on her middle school basketball team. For every 5 shots she takes, she makes 2 baskets. If she makes 8 baskets, how many shots did she take? Use a tape diagram to help organize your thinking.(1 point)
shots
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Breanna plays on her middle school basketball team. For every 5 shots she takes, she makes 2 baskets. If she makes 8 baskets, how many shots did she take? Use a tape diagram to help organize your thinking.(1 point)
To solve this problem, we need to use a tape diagram to help us visualize the ratio and find the unknown quantity.
Step 1: Draw a tape diagram with two bars representing blue paint and green paint.
Step 2: Since the ratio is 2:1, divide the blue paint bar into two equal parts and leave the green paint bar as one part.
Step 3: The total number of parts in the ratio is 2+1=3.
Step 4: We know that the total amount of paint needed is 6 gallons. So, divide the tape diagram into three equal parts, each representing 2 gallons.
Step 5: Now, count the number of blue paint parts needed. It is 2 parts out of 3 total parts.
Step 6: Multiply the number of blue paint parts (2) by the amount represented by each part (2 gallons).
2 parts * 2 gallons = 4 gallons
Therefore, Angelina should buy 4 gallons of blue paint.
Let's represent the 2:1 ratio of blue to green paint using a tape diagram.
We can divide the tape into three equal parts, with two parts representing blue paint and one part representing green paint.
Since Angelina needs a total of 6 gallons of paint, we can divide the tape into 6 equal parts, each representing 1 gallon.
Now, we can see that 2 parts of the tape (or 2 gallons) represent blue paint.
Therefore, Angelina should buy 2 gallons of blue paint.