A wall has an area of 7.2 square meter. It was painted yellow and brown. The area of the wall painted yellow was 3 times as large as the area painted brown. What was the ratio of the area painted yellow to the area painted brown?
3:1
To find the ratio of the area painted yellow to the area painted brown, we need to determine the areas of each color.
Let's assume the area painted brown is x square meters. Since the area painted yellow is 3 times as large as the area painted brown, the area painted yellow would be 3x square meters.
According to the problem, the total area of the wall is 7.2 square meters. So, we can create the equation:
x + 3x = 7.2
Combining like terms, we get:
4x = 7.2
To isolate x, we divide both sides of the equation by 4:
x = 7.2 / 4
x = 1.8
Therefore, the area painted brown is 1.8 square meters, and the area painted yellow is 3 * 1.8 = 5.4 square meters.
The ratio of the area painted yellow to the area painted brown is:
5.4 / 1.8 = 3/1
Hence, the ratio of the area painted yellow to the area painted brown is 3:1.