SOLUTION: Set up the equation for the following situation and solve. Adam has three times as much money as Betty. Together they have $34. How much money does each person have ?

Question 763108: Set up the equation for the following situation and solve.
Adam has three times as much money as Betty. Together they have $34. How much money does each person have ?
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Let A = amount of money Adam has.
Let B = amount of money Betty has.
Then you have two equations
(1) A = 3*B and
(2) A + B = 34
Now substitute (1) into (2) and get
(3) 3*B + B = 34 or
(4) 4*B = 34 or
(5) B = 8.5
and from (1) we get
(6) A = 3*8.5 or
(7) A = 25.5
Let's check this with (2).
Is (25.5 + 8.5 = 34)?
Is (34 = 34)? Yes
Answer: Adam has $25.50 and Betty has $8.50

RELATED QUESTIONS
What equation can I use for the following: Melissa has 5 times as much money as Manuel.... (answered by sdmmadam@yahoo.com)

Write an equation or an inequality to represent each situation. Melissa has 5 times as (answered by Paul)

janet has three times as much money as peter. together they have $40 how much money does... (answered by secretmagic555)

Please help me solve this equation. Bobby has one and a half times as much money as... (answered by prince_abubu)

Melissa has 5 times as much money as Manuel. They have $60.00 together. What equation... (answered by sdmmadam@yahoo.com)

I need to translate this problem as an equation and solve it. If Chen gives Elyse $5,... (answered by stanbon)

Jay has three times as much as sue, and sue has $5 less than Larry. Together they have... (answered by checkley75,edjones)

Betty had 4 times as much money as Cathy,Afrer Betty had spent $ 12 and Cathy had... (answered by stanbon)

Betty had 4 times as much money as cathy.After Betty had spend $12 and Cathy had... (answered by addingup)