Two brothers shared 35 oranges in the ratio 3:4. If the younger brother took the smaller share. How many oranges did he take?

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1 answer

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.