Answer:
The answer to your question is Katie had 15 rocks and Oliver 45 rocks.
Step-by-step explanation:
Conditions
Katie has x amount of rocks
Oliver has 3x amount of rocks
The final amount of rocks
Oliver = 3x + 75
Katie = x + 105
Now, they have the same amount of rocks, then we can equal both equations
3x + 75 = x + 105
Solve for x
3x - x = 105 - 75
2x = 30
x = 30/2
x = 15
Conclusions
At first Katie had 15 rocks and Oliver had 3(15) = 45 rocks
Answer:Olivier had 45 rocks initially.
Step-by-step explanation:
Let x represent the number of rocks that Katie had initially.
Oliver has 3 times as many rocks in his collection as Katie. This means that Olivier originally had 3x rocks.
Then Oliver collected 75 more rocks and Katie collected 105 more rocks. This means that Olivier now has 3x + 75
Also, Katie now has x + 105
Now Katie has the same number of rocks as Oliver. It means that
3x + 75 = x + 105
3x - x = 105 - 75
2x = 30
x = 30/2 = 15
Therefore, the number of rocks that Olivier had initially is
15 × 3 = 45
