After Khalil gave Benjamin 3/5 of the rocks in his collection, Benjamin had 70 rocks. If Benjamin had 25 rocks in the beginning, how many rocks did Khalil have in the beginning?
70 - 25 = 45
(3/5)x = 45
x = 45 / (3/5)
x = 45 * (5/3)
x = 225/3 = 75
225
To find out how many rocks Khalil had in the beginning, we can work backwards from the information given. Let's go step by step:
1. Benjamin had 70 rocks after Khalil gave him 3/5 of his collection.
2. If 3/5 of Khalil's rocks were given to Benjamin, it means Benjamin has 2/5 of Khalil's original collection (since 3/5 + 2/5 = 1).
3. If 2/5 of the rocks represent 70, we can set up a proportion to find the total number of rocks in Khalil's collection.
- Let "x" represent the total number of rocks in Khalil's collection.
- The proportion would be: 2/5 = 70 / x.
4. To solve this proportion, we can cross-multiply: 2x = 5 * 70.
5. Simplifying, we have: 2x = 350.
6. Dividing both sides of the equation by 2, we get: x = 175.
Therefore, Khalil had 175 rocks in the beginning.