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 and it's not 3 gallons

1 answer

Let's represent the amount of blue paint with the variable "b" and the amount of green paint with the variable "g".

According to the ratio of 2:1, we can represent the amount of green paint as half of the amount of blue paint. So, g = (1/2)b.

The total amount of paint needed is 6 gallons, so we can write the equation: b + g = 6.

Substituting the value of g from the ratio equation, we get: b + (1/2)b = 6.

Combining like terms, we have: (3/2)b = 6.

To solve for b, we divide both sides of the equation by 3/2: b = (6 * 2)/3.

Simplifying the right side, we get: b = 12/3.

Therefore, Angelina should buy 4 gallons of blue paint.