The ratio of two numbers is 3 to 7. if the sum of the two number is 50, what are the two
numbers? be sure to show all of your work.

15 and 35

Step-by-step explanation:

If the ratio of two numbers is 3:7, then we can multiply the same factor by both numbers and continue to get the same ratio.  For example, 3 x 2 = 6 and 7 x 2 = 14, the ration 6:14 can be simplified to 3:7.  So, if we use the variable 'x' in the sum of the two numbers, we can solve for 'x' and find the two numbers:

3x + 7x= 50

Combine like terms: 10x = 50

Divide and solve for 'x':  x = 5

3x = 3(5) = 15

7x = 7(5) = 35

15:35 = 3:7  

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