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)
Tape diagram:
Blue paint: 2 units
Green paint: 1 unit
If the total ratio is 3 units (2 + 1), and 6 gallons of paint is needed, we can set up a proportion:
3 units --> 6 gallons
1 unit --> 6/3 = 2 gallons
Therefore, Angelina should buy 2 gallons of blue paint.
wrong please give me the right answer
My apologies for the confusion. Let's try to solve it correctly again:
Tape diagram:
Blue paint: 2 units
Green paint: 1 unit
To find out how many gallons of blue paint Angelina should buy, we first need to determine the total number of units in the ratio.
In this case, the total ratio is 2 + 1 = 3 units.
Since Angelina needs 6 gallons of paint, we can set up a proportion:
3 units --> 6 gallons
1 unit --> 6/3 = 2 gallons
Since Angelina wants to buy blue paint, she should buy 2 gallons of blue paint.
To find out how many gallons of blue paint Angelina should buy, we need to calculate the ratio between blue paint and the total amount of paint.
Let's represent the amount of blue paint as "b" and the amount of green paint as "g".
We know that the ratio of blue paint to green paint is 2:1. Therefore, the total amount of paint can be represented as blue paint + green paint.
From the ratio, we can write the equation:
2x + x = 6
Combining like terms, we get:
3x = 6
Now, we solve for x by dividing both sides of the equation by 3:
3x/3 = 6/3
x = 2
This means that the green paint is 2 gallons.
Therefore, the blue paint is 2 times the amount of green paint, which is 2 * 2 = 4 gallons.
Angelina should buy 4 gallons of blue paint.
Tape Diagram:
Let's draw a tape diagram to help visualize the problem.
---------
| b | b | g |
Each block represents 1 gallon of paint. In this case, there are two blue blocks and one green block.
According to the problem, the total number of blocks is 6. Therefore, we can fill in the equation:
2 + 2 + 1 = 6
This shows that there are a total of 5 blocks, which equals 6 gallons.
Since we need to find the number of blue blocks (b), we can see that there are 2 blue blocks in the tape diagram.
Thus, Angelina should buy 4 gallons of blue paint.