第9章数学モデルと幾何

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?

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?

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.

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?