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)

Answer 1

To solve this problem, we can use a tape diagram to represent the ratio between blue and green paint.

Let's start by representing the total amount of paint needed, which is 6 gallons. We can draw a tape diagram with six sections:

[ ] [ ] [ ] [ ] [ ] [ ]

Now, we know that the ratio of blue to green paint is 2:1. This means that for every 2 units of blue paint, there is 1 unit of green paint. Let's represent this in the tape diagram:

[ ] [ ] [ ] [ ] [ ] [ ]
B B G B B G

We can see that each pair of blue and green paints represents 3 units of paint total (2 blue + 1 green). So, to fill the entire diagram, we need to have 3 pairs of blue and green paints. This equals a total of 9 units of paint (3 x 3).

Therefore, Angelina needs to buy 9 gallons of blue paint.