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Solve Coin Word Problems
In the following exercises, solve the coin word problems.
Jaime has $\text{\$2.60}$ in dimes and nickels. The number of dimes is $14$ more than the number of nickels. How many of each coin does he have?
8 nickels, 22 dimes
Lee has $\text{\$1.75}$ in dimes and nickels. The number of nickels is $11$ more than the number of dimes. How many of each coin does he have?
Ngo has a collection of dimes and quarters with a total value of $\text{\$3.50}.$ The number of dimes is $7$ more than the number of quarters. How many of each coin does he have?
15 dimes, 8 quarters
Connor has a collection of dimes and quarters with a total value of $\text{\$6.30}.$ The number of dimes is $14$ more than the number of quarters. How many of each coin does he have?
Carolyn has $\text{\$2.55}$ in her purse in nickels and dimes. The number of nickels is $9$ less than three times the number of dimes. Find the number of each type of coin.
12 dimes and 27 nickels
Julio has $\text{\$2.75}$ in his pocket in nickels and dimes. The number of dimes is $10$ less than twice the number of nickels. Find the number of each type of coin.
Chi has $\text{\$11.30}$ in dimes and quarters. The number of dimes is $3$ more than three times the number of quarters. How many dimes and nickels does Chi have?
63 dimes, 20 quarters
Tyler has $\text{\$9.70}$ in dimes and quarters. The number of quarters is $8$ more than four times the number of dimes. How many of each coin does he have?
A cash box of $\text{\$1}$ and $\text{\$5}$ bills is worth $\text{\$45}.$ The number of $\text{\$1}$ bills is $3$ more than the number of $\text{\$5}$ bills. How many of each bill does it contain?
10 of the $1 bills, 7 of the $5 bills
Joe's wallet contains $\text{\$1}$ and $\text{\$5}$ bills worth $\text{\$47}.$ The number of $\text{\$1}$ bills is $5$ more than the number of $\text{\$5}$ bills. How many of each bill does he have?
In a cash drawer there is $\text{\$125}$ in $\text{\$5}$ and $\text{\$10}$ bills. The number of $\text{\$10}$ bills is twice the number of $\text{\$5}$ bills. How many of each are in the drawer?
10 of the $10 bills, 5 of the $5 bills
John has $\text{\$175}$ in $\text{\$5}$ and $\text{\$10}$ bills in his drawer. The number of $\text{\$5}$ bills is three times the number of $\text{\$10}$ bills. How many of each are in the drawer?
Mukul has $\text{\$3.75}$ in quarters, dimes and nickels in his pocket. He has five more dimes than quarters and nine more nickels than quarters. How many of each coin are in his pocket?
16 nickels, 12 dimes, 7 quarters
Vina has $\text{\$4.70}$ in quarters, dimes and nickels in her purse. She has eight more dimes than quarters and six more nickels than quarters. How many of each coin are in her purse?
Solve Ticket and Stamp Word Problems
In the following exercises, solve the ticket and stamp word problems.
The play took in $\text{\$550}$ one night. The number of $8 adult tickets was $10$ less than twice the number of $\text{\$5}$ child tickets. How many of each ticket were sold?
30 child tickets, 50 adult tickets
If the number of $\text{\$8}$ child tickets is seventeen less than three times the number of $\text{\$12}$ adult tickets and the theater took in $\text{\$584},$ how many of each ticket were sold?
The movie theater took in $\text{\$1,220}$ one Monday night. The number of $\text{\$7}$ child tickets was ten more than twice the number of $\text{\$9}$ adult tickets. How many of each were sold?
110 child tickets, 50 adult tickets
The ball game took in $\text{\$1,340}$ one Saturday. The number of $\text{\$12}$ adult tickets was $15$ more than twice the number of $\text{\$5}$ child tickets. How many of each were sold?
Julie went to the post office and bought both $\text{\$0.49}$ stamps and $\text{\$0.34}$ postcards for her office's bills She spent $\text{\$62.60}.$ The number of stamps was $20$ more than twice the number of postcards. How many of each did she buy?
40 postcards, 100 stamps
Before he left for college out of state, Jason went to the post office and bought both $\text{\$0.49}$ stamps and $\text{\$0.34}$ postcards and spent $\text{\$12.52}.$ The number of stamps was $4$ more than twice the number of postcards. How many of each did he buy?
Maria spent $\text{\$16.80}$ at the post office. She bought three times as many $\text{\$0.49}$ stamps as $\text{\$0.21}$ stamps. How many of each did she buy?
30 at 49 cents, 10 at 21 cents
Hector spent $\text{\$43.40}$ at the post office. He bought four times as many $\text{\$0.49}$ stamps as $\text{\$0.21}$ stamps. How many of each did he buy?
Hilda has $\text{\$210}$ worth of $\text{\$10}$ and $\text{\$12}$ stock shares. The numbers of $\text{\$10}$ shares is $5$ more than twice the number of $\text{\$12}$ shares. How many of each does she have?
15 at $10 shares, 5 at $12 shares
Mario invested $\text{\$475}$ in $\text{\$45}$ and $\text{\$25}$ stock shares. The number of $\text{\$25}$ shares was $5$ less than three times the number of $\text{\$45}$ shares. How many of each type of share did he buy?
Parent Volunteer As the treasurer of her daughter's Girl Scout troop, Laney collected money for some girls and adults to go to a $\text{3-day}$ camp. Each girl paid $\text{\$75}$ and each adult paid $\text{\$30}.$ The total amount of money collected for camp was $\text{\$765}.$ If the number of girls is three times the number of adults, how many girls and how many adults paid for camp?
9 girls, 3 adults
Parent Volunteer Laurie was completing the treasurer's report for her son's Boy Scout troop at the end of the school year. She didn't remember how many boys had paid the $\text{\$24}$ full-year registration fee and how many had paid a $\text{\$16}$ partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $\text{\$400}$ was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?
Suppose you have $6$ quarters, $9$ dimes, and $4$ pennies. Explain how you find the total value of all the coins.
Answers will vary.
Do you find it helpful to use a table when solving coin problems? Why or why not?
In the table used to solve coin problems, one column is labeled “number” and another column is labeled ‘“value.” What is the difference between the number and the value?
Answers will vary.
What similarities and differences did you see between solving the coin problems and the ticket and stamp problems?
ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
ⓑ After reviewing this checklist, what will you do to become confident for all objectives?
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