Word Problems: Coins Algebra 2 Doering.

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Presentation transcript:

Word Problems: Coins Algebra 2 Doering

Value of each coin in cents Coin Problems Mario had $6.50, consisting of dimes and quarters, in a coin bank. The number of quarters was 10 less than twice the number of dimes. How many of each coin did he have? Kind of Coin Number of Coins Value of each coin in cents Total value in cents Dime d 10 10d Quarter q 25 25q

Coin Problems Total value of the coins: 10d + 25q = 650 Relationship between number of each coin: q = 2d – 10 These are your two equations.

Coin Problems Irene has $4.50 in her coin bank in nickels and dimes. The number of dimes is twice the numbers of nickels. How many of each type does Irene have? Rae has $5.70 in quarters and dimes. The number of quarters is 6 more than the number of dimes. How many of each kind does Rae have?

Coin Problems A class contributed $18.50 in quarters and dimes to a welfare fund. In all, there were 80 coins. How many of each kind were there? Ms. Charles cashed a $135 check in her bank. She received $5 bills and $10 bills. The number of $5 bills exceeded twice the number of $10 bills by 3. How many bills of each type did Ms. Charles receive?