word problem

Question

if player A is paid 9 times more than player B. Their combine salaries is 50 million what is player A being paid?

Answer 1

A=9x since it is 9 times B.

B=x since we do not know what B is we give it a variable for its value call it for sake of argument x.

9x+x=50,000,000 since they said the total value of the payment of A and B combined is 50,000,000.

10x=50,000,000 by combining like terms.

10x/10=50,000,000/10 by the division property of equality.

x=5,000,000 by simplifying and using the multiplicative inverse property.

9 (5,000,000)=45,000,000 since they are asking for the paid value of A.

Answer 2

Let B = player B's salary

Let 9B = player A's salary

B + 9B = 50,000,000

10B = 50,000,000

B = $5,000,000

9B = 9(5,000,000) = $45,000,000