Tape Diagrams Practice

Question

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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.
$$ gallons

Answer 1

To solve this question, we can start by setting up a tape diagram to represent the ratio of blue to green paint.

Let's say that each unit on the tape diagram represents 1 gallon. We have 2 units for blue paint and 1 unit for green paint.

We know that Angelina needs a total of 6 gallons of paint. To find out how much blue paint she needs, we can set up a proportion:

2 units / 3 units = x gallons / 6 gallons

Cross multiplying, we get:

2 * 6 = 3 * x
12 = 3x

Therefore, x = 4

So, Angelina should buy 4 gallons of blue paint.