Beth and Pam both did some babysitting in the summer. Pam earned $4 less than 3 times as much as Beth. Together they earned $860. How much money did each person earn babysitting?

Work Shown:

B = amount Beth earned

P = amount Pam earned

amounts are in dollars

Pam earned $4 less than 3 times as much as Beth, so,

P = 3B-4

Together they earned $860, meaning

P+B = 860

Plug the first equation into the second. Solve for B

P+B = 860

3B-4+B = 860

4B-4 = 860

4B = 860+4

4B = 864

B = 864/4

B = 216

Use this to find P

P = 3B-4

P = 3*216-4

P = 648-4

P = 644

Beth earned $216 and Pam earned $644.

Check:

B+P = 860

216+644 = 860

860 = 860

First equation is true

P = 3B-4

644 = 3*216-4

644 = 644

Second equation is true

Both equations are true when (B,P) = (216,644) so the solutions have been confirmed.

46 dollars is the answer.

step-by-step explanation:

6*6 = 36,         36+10=46

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x