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
Given:
'a' and 'b' are the intercepts made by a straight-line with the co-
ordinate axes.
3a = b and the line pass through the point (1, 3).
To find:
The equation of the line.
Solution:
The intercept form of a line is
...(i)
where, a is x-intercept and b is y-intercept.
We have, 3a=b.
...(ii)
The line pass through the point (1, 3). So, putting x=1 and y=3, we get



Multiply both sides by a.

The value of a is 2. So, x-intercept is 2.
Putting a=2 in
, we get


The value of b is 6. So, y-intercept is 6.
Putting a=2 and b=6 in (i), we get

Therefore, the equation of the required line in intercept form is
.
Correct option is:
B. 2
<h2>
Explanation:</h2>
From the double number line shown we can set:

So we can solve this problem by using either equation (3) or (4). So, choosing equation (3):

<h2>Learn more:</h2>
Solving equations: brainly.com/question/7747308
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