Presentation on theme: "Exercise What is the value of seven nickels? $0.35."— Presentation transcript:
1 ExerciseWhat is the value of seven nickels?$0.35
2 ExerciseWhat is the value of fourteen quarters?$3.50
3 ExerciseWrite two expressions for the value of d dimes, one in dollars and one in cents.0.1d and 10d
4 ExerciseJoe has 23 coins in his pocket. He has 7 nickels, and the rest of the coins are an equal number of dimes and quarters. How much money does he have?$3.15
5 quarters: 2d; pennies: 12 – 3d ExerciseShannon has twice as many quarters as dimes; and the total number of her dimes, quarters, and pennies is 12. Write expressions for the numbers of quarters and pennies in terms of d, the number of dimes.quarters: 2d; pennies: 12 – 3d
6 Money ProblemsIn the first type of problem, the total number of coins is known. The total value of the money is not.
7 Example 1Ivan has been saving money and has 351 coins. He has three more quarters than twice the number of dimes. How many of each coin does he have? How much money does he have?
8 Since the number of quarters is expressed in terms of the number of dimes, let d represent the number of dimes. Then express the number of quarters in terms of d.CoinNumber of CoinsDimesdQuarters2d + 3
11 Money ProblemsIn the second type of money problem, the total value of the money is known, but the number of coins of each denomination is not.
12 Example 2Steve saves money by putting his dimes, nickels, and pennies in a jar. He has three times as many dimes as pennies and 18 more nickels than dimes. If he has a total of $14.24, find the number of dimes, nickels, and pennies he has.
13 Notice that the number of dimes is described in terms of the number of pennies, and the number of nickels is described in terms of the number of dimes. It would be best to know the number of pennies first. Let p = the number of pennies.
14 Value of Coins# of CoinsTotal ValueCoinPenniesp1pNickels3p + 1855(3p + 18)Dimes3p1010(3p)
15 Each dollar is 100 cents, so he has 14. 24(100) = 1,424 cents Each dollar is 100 cents, so he has 14.24(100) = 1,424 cents. This number will be used in the equation since the values of the coins in the table are given in cents.p + 5(3p + 18) + 10(3p) = 1,424p + 15p p = 1,42446p + 90 = 1,424
25 ExampleLucy has 70 nickels, dimes, and quarters. The number of dimes is five more than twice the number of nickels, and the number of quarters is five more than three times the number of nickels.
26 10 nickels, 25 dimes, and 35 quarters ExampleHow many of each does she have?10 nickels, 25 dimes, and 35 quarters
27 ExampleVern has 180 nickels, dimes, and quarters. He has ten more dimes than nickels and as many quarters as he has nickels and dimes combined. How many of each does he have?
28 40 nickels, 50 dimes, and 90 quarters Example40 nickels, 50 dimes, and 90 quarters
29 ExampleRicardo has 90 pennies, nickels, and dimes. He has twice as many nickels as pennies and 50% more dimes than nickels. How many of each does he have?
30 15 pennies, 30 nickels, and 45 dimes Example15 pennies, 30 nickels, and 45 dimes
31 ExampleJohn has 120 coins in pennies, nickels, dimes, and quarters. He has twice as many nickels as pennies and twice as many quarters as dimes.
32 16 pennies, 32 nickels, 24 dimes, and 48 quarters ExampleIf the number of dimes is half the total number of nickels and pennies, how many of each does he have?16 pennies, 32 nickels, 24 dimes, and 48 quarters
33 ExampleGary has $421 in ones and fives. The number of ones is one more than twice the number of fives. How many of each does he have?
35 ExampleWren notices at the end of the day that there is $4.10 in change in the cash register and, interesting enough, the number of pennies, nickels, dimes, and quarters are exactly the same. How many of each coin are there?
41 ExampleHeidi wants to withdraw $3,500 from her savings. She asks for five hundreds, and she wants the rest to be divided so she has the same number of ones, fives, tens, and twenties. Can this be done?
42 n = 83.33; No, this cannot be done since n is not an integer. Examplen = 83.33; No, this cannot be done since n is not an integer.
43 ExerciseMr. Cohen’s net worth is twice as much as Mr. Hall’s and three times as much as Mr. Chang’s. They claim that their combined net worth is a million dollars.
44 Mr. Chang: $181,818; Mr. Hall: $272,727; Mr. Cohen: $545,455 ExerciseFind the net worth of each one to the nearest dollar.Mr. Chang: $181,818; Mr. Hall: $272,727; Mr. Cohen: $545,455
45 ExerciseA roll of 36 bills contains two more twenties than fifties, eight fewer tens than twenties, and twice as many fives as fifties. How many of each bill are in the roll? How much money is in the roll of bills?