Samuel and Daniel shares some oranges in the ratio 4:5 respectively. Daniel received 3 more oranges than Samuel. How many oranges did Samuel get?
daniel = 3 + sam
sam/daniel =4/5
sam/(sam + 3) = 4/5
5s = 4s + 12
s = 12
Samuel --- 4x oranges
Daniel ----- 5x oranges
5x = 4x + 3
x = 3
Sam has 12, Daniel has 15
To find out how many oranges Samuel got, let's take the given information step by step:
1. Let's assume that Samuel received 4x oranges, where x is a common factor.
2. According to the ratio, Daniel received 5x oranges.
3. We are also given that Daniel received 3 more oranges than Samuel, so we can set up the equation: 5x = 4x + 3.
4. Now, we solve the equation to find the value of x.
5. Subtracting 4x from both sides of the equation gives: 5x - 4x = 3.
6. Simplifying, we get: x = 3.
Since x = 3, Samuel received 4x = 4 * 3 = 12 oranges.
Therefore, Samuel received 12 oranges.