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Breck has 22 dimes and nickels. The total value of the coins is $1. 45. How many dimes and how many nickels does Breck have?

User Pcasa
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Let x be the number of dimes and y be the number of nickels that Breck has. We know that he has 22 coins in total so

x + y = 22

We also know that the total value of the coins is $1.45, which is equivalent to 145 cents. Since dimes are worth 10 cents and nickels are worth 5 cents, we can write another equation:

10x + 5y = 145

We can simplify this equation by dividing both sides by 5:

2x + y = 29

Now we have two equations:

x + y = 22
2x + y = 29

We can solve for y by subtracting the first equation from the second equation:

2x + y - (x + y) = 29 - 22
x = 7

Now that we know x, we can substitute it back into either equation to solve for y:

x + y = 22
7 + y = 22
y = 15

Therefore, Breck has 7 dimes and 15 nickels.
User Odinn
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