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

4 answers

Based on the given ratio of 2:1 for blue to green paint, we can set up a proportion to determine the amount of blue paint needed.

Let x represent the number of gallons of blue paint needed.

Therefore, the amount of green paint needed would be (1/2)x gallons.

Since the total amount of paint needed is 6 gallons, we can set up the following equation:

x + (1/2)x = 6

To combine the like terms, we can multiply 1/2 by x, resulting in:

(3/2)x = 6

To isolate x, we can divide both sides of the equation by 3/2:

(3/2)x / (3/2) = 6 / (3/2)

Simplifying, we get:

x = 4

Thus, Angelina should buy 4 gallons of blue paint.
Methane gas contains carbon atoms and hydrogen atoms in the ratio of 1:4. A sample of methane gas contains 90 atoms. What value should be inserted into each rectangle? (1 point) The number should be inserted into each rectangle
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