Money Problems:

1
Money Problems

• By
• Dr. Marcia Tharp and
• Dr. Julia Arnold

2
In money problems we encounter two types of
numbers For example, if we say the number of
coins is 6, 6 represents how many coins. If we
say the value of the coins is 60 cents, then 60
represents how much the coins are worth. The two
ideas are how many and value of
See if you can pick out the the number for how
many, and the number for the value of in the next
problem.
3
Example 1

• The Hurrah Players sold 600 tickets to a recent
  event. Adults paid 5 each and students paid 2
  each. If the total collected was 2025, how many
  tickets of each type were sold?

600 is how many 5, 2, and 2025 represents the
value of
4
If you have 5 nickels, what is the value of the
money?
25 cents
If you have 3.00 in dimes, how many dimes do you
have?
30
How did you get the numbers above?
In the nickel problem you multiplied the number
of by the value of and thus 5 .05 .25 25
cents
In the dime problem you divided the value of the
money by the value of one dime
dimes
5

• R Read the problem over and over until you
  feel you understand the problem.

The Hurrah Players sold 600 tickets to a recent
event. Adults paid 5 each and students paid 2
each. If the total collected was 2025, how many
tickets of each type were sold?
You might make a casual guess. 250 adult and 350
student tickets for example
1.
How could you check your guess?
By multiplying the how many number by the
value of number.
250 5 350 2 1950
Since the total is not 2025 we know this guess
isnt right.
6
Im ready to get this problem done so algebra is
going to be a lot quicker than guessing.
Lets chart the information as follows
This is the information I have!
How many
Value of
Total
Tickets
5
Adult
Student
2
Total
600
2025
7
Now lets add the algebra. Since the number of
adult tickets is unknown, let of adult tickets
x
How would we represent the number of student
tickets?
If you said x, that would make x 300
automatically since x also represents adult
tickets. Not right.
8
How would we represent the number of student
tickets?
When you know a total (600) and x represents part
of that total, use subtraction total - part 600-x
number of student tickets.
600 - x
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Now we must multiply how many by value of and
put in total column.
5x
2(600 - x)
600 - x
10
Form the equation. The money from the student
tickets and the money from the adult tickets
should add up to equal the total amount
collected. cost adult tickets cost student
tickets total collected 5x 2(600 x)
2025 5x 1200 - 2x 2025 3x 1200 2025 3x
825 x 275 adult tickets 600 - 275 325 student
tickets
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• Its your turn to practice money problems.

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Directions work out problems 1-6 then check the
solutions found on next slide.
1. Yolanda has dimes and quarters totaling 5.25.
If she has 33 coins in all how many of each does
she have? 2. Tony has 39 bills in fives and
tens. If the total value is 285 how many of each
does he have? 3. The Drama Club sold 500
tickets to their fall performance. The adult
tickets were 5 each and the student tickets were
3 each. If they took in 2080, how many of each
did they sell? 4. Edie has 27 coins in dimes
and quarters. If the total value is 3.75 how
many of each does she have?
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5. Venus bought 40 stamps for 12.40. Some of the
stamps were 33-cent stamps and some were 23 cent
stamps. How many of each did she buy? 6. Sonia
has 26 bills in ones and fives. If their total
value is 50 how many of each does she have?
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Answers to Practice Problems

• 20 dimes and 13 quarters
• 21 fives and 18 tens
• 290 adult tickets and 210 student tickets
• 20 dimes and 7 quarters
• 32 stamps at 33cents each and 8 stamps at 23
  cents each
• 20 1 bills and 6 5 bills

Complete Solutions Follow
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1. Yolanda has dimes and quarters totaling
5.25. If she has 33 coins in all how many of
each does she have?
.10x .25(33-x) 5.25 .10x 8.25 -
.25x5.25 -.15x-3 x 20 dimes 33-x 13
quarters
Total 33 coins
5.25
The equation is the sum of the last column s
total or .10x .25(33-x) 5.25
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2. Tony has 39 bills in fives and tens. If the
total value is 285 how many of each does he
have?
5x 10(39 x) 285 5x 390 10x 285 -5x
-105 x 21 fives 39-x 18 tens
Total 39 bills
285
The equation is the sum of the last column s
total or 5x 10(39 x) 285
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3. The Drama Club sold 500 tickets to their fall
performance. The adult tickets were 5 each and
the student tickets were 3 each. If they took in
2080, how many of each did they sell?
5x 3(500 x) 2080 5x 1500 3x 2080 2x
580 x 290 adult tickets 500-x 210
student tickets
Total 500 tickets
2080
The equation is the sum of the last column s
total or 5x 3(500 x) 2080
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4. Edie has 27 coins in dimes and quarters. If
the total value is 3.75 how many of each does
she have?
.10x .25(27 x) 3.75 .10x 6.75 - .25x
3.75 -.15x -3 x 20 dimes 27-x 7 quarters
Total 27 coins
3.75
The equation is the sum of the last column s
total or .10x .25(27 x) 3.75
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5. Venus bought 40 stamps for 12.40. Some of the
stamps were 33-cent stamps and some were 23 cent
stamps. How many of each did she buy?
.33x .23(40-x)12.40 .33x 9.2 -.23x12.40 .10x
3.20 x 32 33 cent stamps 40-x 8 23 cent
stamps
Total 40 stamps
12.40
The equation is the sum of the last column s
total or .33x .23(40-x)12.40
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6. Sonia has 26 bills in ones and fives. If their
total value is 50 how many of each does she
have?
x 5(26 x)50 X 130 5x 50 -4x -80 X
20 ones 26 x 6 fives
Total 26 bills
50
The equation is the sum of the last column s
total or x 5(26 x)50
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Now its time to go to the Mixture Problems