Carolyn, Julia, and Roberta share $77 in a ratio of 4:2:1, respectively. How many dollars did Carolyn recieve?

4x = 44 which is Carolyn's share.

Step-by-step explanation:

Equation

Use a variable to find out how the sum of the ratios would be divided up to make 77 dollars.

4x + 2x + x = 77 Combine like terms on the left

Solution

7x = 77 Divide by 7

7x/7 = 77/7 Do the division

x = 11

Answer

4*11 = 44 which is Carolyn's share

2*11 = 22 which is Julia's Share

1*11 = 11 which is Roberta's share.