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A coin bank containing only dimes and quarters has 26 more dimes than quarters. The total value of the coins is $11. How many quarters and dimes are in the coin bank?

          A coin bank containing only dimes and quarters has 26 more dimes than quarters. The total value of the coins is $11. How many quarters and dimes are in the coin bank?
        
A coin bank containing only dimes and quarters has 26 more dimes than quarters. The total value of the coins is 11. How many quarters and dimes are in the coin bank?

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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A coin bank containing only dimes and quarters has 26 more dimes than quarters. The total value of the coins is $11. How many quarters and dimes are in the coin bank? Enter an exact number. Tutorial: How can you represent the value of coins in the same unit of money? Then, how can you form an equation from the given verbal description? Solve the equation to find the number of quarters and dimes.
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Transcript

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00:01 In this question we are given that total value of nickels and dimes in a bank is $2.
00:06 If the nickels were dimes and dimes were nickels, the total value would be $2 .35 and then we are asked that if the number of nickels in the bank less than equal to or greater than the number of dimes in the bank.
00:20 So first of all, we will understand the value of nickel and one dime.
00:24 So one nickel is equal to one divided by $20 and one dime is equal to one divided by $10.
00:39 So let us say number of nickels equal to x and number of dimes equal to that means x divided by 20 plus y divided by 10 is 2...
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