Three brothers shared some oranges in ratio6:4:2.if the brother with the largest share got 150 oranges.find the number of oranges shared
150 = 6*25, so
6:4:2 = 150:100:50
150+100+50 = 300
To find the total number of oranges shared, we need to determine the value of each "part" in the ratio.
Let's assume the multiplier is "x".
The ratio of the shares is 6:4:2. So, the sum of the parts is 6 + 4 + 2 = 12.
To find the value of each part, we divide the number of oranges received by the brother with the largest share (150) by his share in the ratio (6).
Value of each part = 150 / 6 = 25.
Now, we can find the number of oranges shared by multiplying the value of each part by the corresponding ratio for each brother:
The brother with a share of 6: 6 * 25 = 150 oranges.
The brother with a share of 4: 4 * 25 = 100 oranges.
The brother with a share of 2: 2 * 25 = 50 oranges.
Therefore, the total number of oranges shared is 150 + 100 + 50 = 300 oranges.
To find the total number of oranges shared, we need to calculate the sum of the ratios.
The given ratio for sharing the oranges is 6:4:2, which can be seen as a proportion of 6 parts, 4 parts, and 2 parts.
Let's assume that the common ratio is "x". So, the total number of parts would be 6x + 4x + 2x = 12x.
We know that the brother with the largest share got 150 oranges. According to the ratio, this would be the brother who received 6 parts. Let's set up an equation to find the value of "x":
6x = 150
Dividing both sides of the equation by 6:
x = 150 / 6
Simplifying:
x = 25
Now, we can find the total number of oranges:
12x = 12 * 25 = 300
Therefore, the total number of oranges shared among the three brothers is 300.