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This Lesson (OVERVIEW of lessons on coin word problems) was created by by ikleyn(52748)
  About ikleyn: OVERVIEW of lessons on coin word problemsMy lessons on coin word problems in this site are - Coin problems - More Coin problems - Solving coin problems without using equations - Kevin and Randy Muise have a jar containing coins - Typical coin problems from the archive - Three methods for solving standard (typical) coin word problems - More complicated coin problems - Advanced coin problems - Solving coin problems mentally by grouping without using equations - Non-typical coin problems - Swapping dimes and quarters - Santa Claus helps solving coin problem - We easily deal with four unknowns List of lessons with short annotationsCoin problems Problem 1. Sue has $1.15 in nickels and dimes, totally 16 coins. How many nickels and how many dimes does Sue have? Problem 2. Michael has $1.95 in total in his collection, consisting of quarters and nickels. The number of nickels is in three more than the number of quarters. How many nickels and how many quarters does Michael have? More Coin problems Problem 1. There are 2 times as many quarters as dimes in Eric's pocket. He has $1.20 in coins in total. How many coins of each type does Eric have? Problem 2. Monica has 34 coins in nickels, dimes, and quarters. The coins worth $5.50. The number of dimes exceeds the number of nickels by 6. How many nickels, dimes and quarters does Monica have? Solving coin problems without using equations Problem 1. A money box contains only 10-cent and 25-cent coins. There are 34 coins with a total value of $6.40. How many coins of each type are there in the box? Kevin and Randy Muise have a jar containing coins Problem 1. Kevin and Randy Muise have a jar containing 28 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $4.00. How many of each type of coin do they have? Problem 2. Kevin and Randy Muise have a jar containing 31 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $5.35. How many of each type of coin do they have? Typical coin problems from the archive Problem 1. I have 26 coins in my pocket, all nickels and dimes. Altogether, I have $2.25. How many of each type of coin do I have? Problem 2. A parking meter contains nickels and quarters woth $5.90. There are 62 coins in all. Find how many coins of each nomination there are in the parking meter. Problem 3. Jenny has 40 coins in her purse, comprised completely of dimes and quarters. If the total value of the coins is $8.05, how many dimes are in the coin purse? Three methods for solving standard (typical) coin word problems Problem 1. A parking meter contains quarters and dimes worth $12.80. There are 77 coins in all. Find how many of each there are? More complicated coin problems Problem 1. Carlos has a box of coins that he uses when playing poker with friends. The box currently contains 31 coins consisting of pennies, dimes and quarters. The number of pennies is equal to the number of dimes and the total value is $2.29. How many of each nomination of coin does he have? Problem 2. A newspaper carrier had $6.65 in change. He has ten more quarters than dimes but two times as many nickels as quarters. How many coins of each type does he have? Problem 3. Steve is cashing in his jar of spare nickels dimes and quarters. When he gets to the bank he receives a total of $14.70. He learned he had 133 coins in all, and that there were 3 times as many dimes as quarters. How many of each type of each type of coin did he save? Problem 4. There is a collection of nickels, dimes, and quarters with total value of $47.60. There are 28 more dimes than nickels. There are 5 times as many quarters as dimes. How many quarters are in the collection? Advanced coin problems Problem 1. Dan opened up his piggy bank and found a total of 35 coins - nickels, dimes, and quarters. He has 5 more nickels than dimes and a total of $6. How many of each coin were in his bank? Problem 2. Joe has 2 more quarters than nickels and 5 times as many nickels as dimes. Altogether he has $6.90. How many dimes does Joe have? Problem 3. A vending machine's coin box contains nickels, dimes, and quarters. The total number of coins in the box is 296. The number of dimes is three times the number of nickels and quarters together. If the box contains 29 dollars and 30 cents, find the number of nickels, dimes and quarters that it contains. Problem 4. Emma paid the $10.02 bill for her lunch with 234 coins consisting of pennies, nickels and dimes. If the number of nickels plus dimes was equal to the number of pennis then how many coins of each type did she use? Problem 5. A boy has $3.70 in dimes and quarters. If the dimes were quarters, and the quarters were dimes, the money would have been $4.00. How many coins of each nomination does the boy have? How many coins in total does the boy have? Problem 6. If Bob had twice as many nickels and half as many quarters, he would have 60c less. Suppose he now has 16 nickels and quarters. How many of each coin does he have ? Solving coin problems mentally by grouping without using equations Problem 1. If you have $6.30 in quarters and dimes and the amount of dimes is twice as much as quarters, how many coins of each nomination do you have? Problem 2. Carson has $2.15 in nickels and dimes in a jar. He has 10 more nickels than dimes. How many nickels and dimes does he have? Problem 3. A cash register contains only five dollar and fifty dollar bills. It contains five times as many five dollar bills as fifty dollar bills and the total amount of money in the cash register is $2,475. How many fifty dollar bills are in the cash register? Problem 4. Harry has $6.10 in his pocket. He has twice as many quarters as nickels and one more dime than quarters. How many coins of each nomination does Harry have? Problem 5. A vending machine contains nickels, quarters, and dimes with a total value of $83.75. There are twice as many dimes as nickels, and 50 more quarters than dimes. How many of each coin are there? Non-typical coin problems Problem 1. Mr. Jones has $0.70 in dimes and nickels. The total number of coins is 2 more than 3 times the number of nickels. How many coins of each type does he have? Swapping dimes and quarters Problem 1. The total value of quarters and dimes in a coin bank is $6.90. If the quarters were dimes and the dimes were quarters the total value of the coins would be $7.80. Find the number of quarters in the bank. Problem 2. A boy has $3.70 in dimes and quarters. If the dimes were quarters, and the quarters were dimes, the money would have been $4.00. How many coins of each nomination does the boy have? How many coins in total does the boy have? Santa Claus helps solving coin problem Problem 1. In a collection of nickels, dimes and quarters, there are twice as many dimes as nickels and 3 fewer quarters than dimes. If the total value of the coins is $4.50, how many of each type of coin are there We easily deal with four unknowns Problem 1. The drawer of a cash register contains 30 coins: pennies, nickels, dimes, and quarters. The total value of the coins $3.31. The total number of pennies and nickels combined is the same as the total number of dimes and quarters combined. The total value of the quarters is five times total value of the dimes. How many coins of each type are in the drawer ? Use this file/link ALGEBRA-I - YOUR ONLINE TEXTBOOK to navigate over all topics and lessons of the online textbook ALGEBRA-I. This lesson has been accessed 7415 times. |
