Question

Divide 72 into 2 groups so the ratio is 3 to 5

Answer 1

27 and 45

Explanation:

3x +5x= 72

8x=72

x=9

3*9=27 (27/3=9)

5*9=45 (54/5=9)

Answer 2

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