Two brothers shared 35 oranges in the ratio 3:4. If the younger brother took the smaller share. How many oranges did he take?
Show workings
Let's represent the two shares using variables:
The amount of oranges the younger brother takes = 3x (since his share is the smaller share)
The amount of oranges the older brother takes = 4x
We know that the total number of oranges is 35. So we can create an equation:
3x + 4x = 35
Combining like terms, we get:
7x = 35
Dividing both sides by 7, we get:
x = 5
Substituting x back into our earlier expressions for the amount each brother takes, we get:
The younger brother takes 3x = 3(5) = 15 oranges
The older brother takes 4x = 4(5) = 20 oranges
Therefore, the younger brother took 15 oranges.
To find out how many oranges the younger brother took, we need to calculate the ratio of their shares.
The given ratio is 3:4, which means that for every 3 parts the older brother takes, the younger brother takes 4 parts.
To calculate the total number of parts, we add the numbers in the ratio: 3 + 4 = 7.
Since there are 35 oranges in total, we divide this number by the total parts in the ratio: 35/7 = 5.
This means that each part represents 5 oranges.
To find out how many oranges the younger brother took, we multiply the number of parts he took (4) by the value of each part (5): 4 * 5 = 20.
Therefore, the younger brother took 20 oranges.