Answer:
Explanation:
Let x = the number of rolls in group 1
Let y = the number of rolls in group 2
We know that the ration of rolls is 3 to 5, so we know that:
3x = 5y
x = 5/3 * y
We also know that the total number of rolls is 72, so we know that:
x + y = 72
Now we have two equations and two variables, so we can solve.
Using substitution on the second equation, we have this:
(5/3 * y) + y = 72
Now solve for y:
8/3 * y = 72
y = 72 * 3/8
y = 27
Now we can plug this value into the second equation to find the value of x:
x + y = 72
x + 27 = 72
x = 72 - 27
x = 45
Therefore, one group has 27 rolls, the other has 45.
You can prove that the ration is 3 to 5 by dividing the first value by 3 and the second value by 5:
27 / 3 = 9
45 / 5 = 9