9.2 Solve Money Applications

Before you get started, take this readiness quiz.

Multiply: $14 \left(0.25\right) .$
If you missed this problem, review the reference.

Simplify: $100 \left(0.2 + 0.05 n\right) .$
If you missed this problem, review the reference.

Solve: $0.25 x + 0.10 \left(x + 4\right) = 2.5$
If you missed this problem, review the reference.

Michaela has $\$\text{2}.\text{05}$ in dimes and nickels in her change purse. She has seven more dimes than nickels. How many coins of each type does she have?

Liliana has $\$\text{2}.\text{10}$ in nickels and quarters in her backpack. She has $12$ more nickels than quarters. How many coins of each type does she have?

Sumanta has $\$\text{4}.\text{20}$ in nickels and dimes in her desk drawer. She has twice as many nickels as dimes. How many coins of each type does she have?

Alison has three times as many dimes as quarters in her purse. She has $\$\text{9}.\text{35}$ altogether. How many coins of each type does she have?

Jesse has $\$\text{6}.\text{55}$ worth of quarters and nickels in his pocket. The number of nickels is five more than two times the number of quarters. How many nickels and how many quarters does Jesse have?

Elaine has $\$\text{7}.\text{00}$ in dimes and nickels in her coin jar. The number of dimes that Elaine has is seven less than three times the number of nickels. How many of each coin does Elaine have?

The first day of a water polo tournament, the total value of tickets sold was $\$\text{17},\text{610} .$ One-day passes sold for $\$\text{20}$ and tournament passes sold for $\$\text{30} .$ The number of tournament passes sold was $37$ more than the number of day passes sold. How many day passes and how many tournament passes were sold?

At the movie theater, the total value of tickets sold was $\$\text{2},\text{612}.\text{50} .$ Adult tickets sold for $\$\text{10}$ each and senior/child tickets sold for $\$\text{7}.\text{50}$ each. The number of senior/child tickets sold was $25$ less than twice the number of adult tickets sold. How many senior/child tickets and how many adult tickets were sold?

Monica paid $\$\text{10}.\text{44}$ for stamps she needed to mail the invitations to her sister's baby shower. The number of $\text{49}-\text{cent}$ stamps was four more than twice the number of $\text{8}-\text{cent}$ stamps. How many $\text{49}-\text{cent}$ stamps and how many $\text{8}-\text{cent}$ stamps did Monica buy?

Eric paid $\$\text{16}.\text{64}$ for stamps so he could mail thank you notes for his wedding gifts. The number of $\text{49}-\text{cent}$ stamps was eight more than twice the number of $\text{8}-\text{cent}$ stamps. How many $\text{49}-\text{cent}$ stamps and how many $\text{8}-\text{cent}$ stamps did Eric buy?

Kailee paid $\$\text{14}.\text{84}$ for stamps. The number of $\text{49}-\text{cent}$ stamps was four less than three times the number of $\text{21}-\text{cent}$ stamps. How many $\text{49}-\text{cent}$ stamps and how many $\text{21}-\text{cent}$ stamps did Kailee buy?

Solve the coin word problems.

Jaime has $\$\text{2}.\text{60}$ in dimes and nickels. The number of dimes is $14$ more than the number of nickels. How many of each coin does he have?

Solve the coin word problems.

Ngo has a collection of dimes and quarters with a total value of $\$\text{3}.\text{50} .$ The number of dimes is $7$ more than the number of quarters. How many of each coin does he have?

Solve the coin word problems.

Carolyn has $\$\text{2}.\text{55}$ 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.

Solve the coin word problems.

Chi has $\$\text{11}.\text{30}$ 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?

Solve the coin word problems.

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?

Solve the coin word problems.

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?

Solve the coin word problems.

Mukul has $\$\text{3}.\text{75}$ 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?

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?

Solve the ticket and stamp word problems.

The movie theater took in $\$\text{1},\text{220}$ 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?

Solve the ticket and stamp word problems.

Julie went to the post office and bought both $\$\text{0}.\text{49}$ stamps and $\$\text{0}.\text{34}$ postcards for her office's bills She spent $\$\text{62}.\text{60} .$ The number of stamps was $20$ more than twice the number of postcards. How many of each did she buy?

Solve the ticket and stamp word problems.

Maria spent $\$\text{16}.\text{80}$ at the post office. She bought three times as many $\$\text{0}.\text{49}$ stamps as $\$\text{0}.\text{21}$ stamps. How many of each did she buy?

Solve the ticket and stamp word problems.

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?

Parent Volunteer As the treasurer of her daughter's Girl Scout troop, Laney collected money for some girls and adults to go to a $\text{3}-\text{day}$ 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?

Suppose you have $6$ quarters, $9$ dimes, and $4$ pennies. Explain how you find the total value of all the coins.

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?