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)

Question

Blank gallons

Answer 1

Let's represent the unknown amount of blue paint with a variable, say x.

According to the given ratio, the amount of green paint is 2 units.

To find the total number of units, we need to add the amount of blue paint and green paint, which is 2 + 1 = 3 units.

Now we can set up a proportion to find the value of x:

blue paint units / total units = blue paint gallons / total gallons

x / 3 = blue paint gallons / 6

To solve for x, we can cross-multiply and solve the equation:

6x = 3 * 6

6x = 18

x = 18 / 6

x = 3

Therefore, Angelina should buy 3 gallons of blue paint.