Jacob had twice as many marbles as Jerry. Kenny had 3 times as many marbles as Jacob. They had 846 marbles altogether. How many more marbles did Kenny have than Jerry?
My answer is 470
9 units = 846
1 unit = 846 divide 9 = 94
5 * 94 = 470
jac = 2 jer
k = 3 jac = 3*2 = 6 jer
2 jer + 6 jer + 1 jer = 9 jer = 846
so
Jerry = jer = 94
jacob = 2 jer = 188
Kenny = 6 jer = 564
564 - 94 = 470
Let's solve this step-by-step:
Step 1: Let's assume the number of marbles Jerry has as 'x'.
Step 2: According to the given information, Jacob has twice as many marbles as Jerry, so Jacob has 2x marbles.
Step 3: Kenny has 3 times as many marbles as Jacob, so Kenny has 3 * (2x) = 6x marbles.
Step 4: The total number of marbles they all have together is 846, so we can write the equation: x + 2x + 6x = 846.
Step 5: Simplifying the equation, we get 9x = 846.
Step 6: Solving for x, divide both sides by 9: x = 846 / 9 = 94.
Step 7: Now, substituting the value of x back into the equation, we find that Jerry has 94 marbles.
Step 8: To find how many more marbles Kenny has compared to Jerry, we subtract their numbers: 6x - x = 6 * 94 - 94 = 564 - 94 = 470.
Therefore, Kenny has 470 more marbles than Jerry.
To solve this problem, we need to determine the number of marbles each person had. Let's start by assigning variables to the number of marbles each person had.
Let's say Jerry had x marbles. Since Jacob had twice as many marbles as Jerry, Jacob had 2x marbles. Similarly, since Kenny had three times as many marbles as Jacob, Kenny had 3(2x) = 6x marbles.
According to the problem, the sum of the number of marbles they had is given as 846. So, we can write the equation:
x + 2x + 6x = 846
Combining like terms, we get:
9x = 846
To find the value of x, we can divide both sides of the equation by 9:
x = 846/9
x = 94
Now that we know x = 94, we can determine the number of marbles each person had:
Jerry had x marbles = 94
Jacob had 2x marbles = 2*94 = 188
Kenny had 6x marbles = 6*94 = 564
To find out how many more marbles Kenny had than Jerry, we subtract Jerry's marbles from Kenny's marbles:
564 - 94 = 470
Therefore, Kenny had 470 more marbles than Jerry.