SOLUTION: Algebra I Unit 2 Assignment Money Problem Phil T. Rich has $100 and spends $3.00 of it per day. Ernest Worker has only $20 but is adding to it at a rate of $5.00 per day. Let x b

Question 116134: Algebra I Unit 2 Assignment
Money Problem
Phil T. Rich has $100 and spends $3.00 of it per day. Ernest Worker has only $20 but is adding to it at a rate of $5.00 per day. Let x be the number of days that have passed.
a. Write the definition of x. Then write two expressions, one representing how much Phil has after x days and the other representing how much Ernest has after x days.
b. Who has more money , and how much more, after:
i. 1 week ii. 2 weeks
c. After how many days will each have the same amount of money?
Write and solve an equation to find this number of days.
d. Show that each actually does have the same amount of money after the number of days you calculated in part c.
{You must show each step of your math work and write an explanation describing the steps you followed to arrive at your answer and why you chose each step, even if you did mental math or used a calculator}
I think I have A and B
A Phill 100-(3x)
Ernest 20+(5x)
B
Phill 79 58
Ernest 55 90
Please Help me

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Phil T. Rich has $100 and spends $3.00 of it per day. Ernest Worker has only $20 but is adding to it at a rate of $5.00 per day. Let x be the number of days that have passed.
a. Write the definition of x. Then write two expressions, one representing how much Phil has after x days and the other representing how much Ernest has after x days.
b. Who has more money , and how much more, after:
i. 1 week ii. 2 weeks
c. After how many days will each have the same amount of money?
Write and solve an equation to find this number of days.
d. Show that each actually does have the same amount of money after the number of days you calculated in part c.
{You must show each step of your math work and write an explanation describing the steps you followed to arrive at your answer and why you chose each step, even if you did mental math or used a calculator}
I think I have A and B
A Phill 100-(3x)
Ernest 20+(5x)
B
Phill 79 58
Ernest 55 90
C Let 100-3x = 20+5x and solve for x:
8x = 80
x = 10 days (they will have the same amount on the 10th day)
D. Phil: Let x= 10; then Phil has 100-3*10 = 70
Rich: Let x= 10: then Rich has 20+5*10 = 20+50 = 70
=======================
Cheers,
Stan H.
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