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Mrs. Crocker cleaned out her purse and found nickels and dimes.  After she counted the change, she found that she had a total of $1.85 of nickels ( x ) and dimes ( y ).  Find an equation that models this situation.

Question

Mrs. Crocker cleaned out her purse and found nickels and dimes.  After she counted the change, she found that she had a total of $1.85 of nickels ( x ) and dimes ( y ).  Find an equation that models this situation.

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Solution

The value of nickels and dimes can be represented in cents to make the equation easier to understand. A nickel is worth 5 cents and a dime is worth 10 cents.

If Mrs. Crocker has x nickels and y dimes, the total value of these coins in cents is 5x + 10y.

She has a total of $1.85, which is equal to 185 cents.

Therefore, the equation that models this situation is:

5x + 10y = 185

Similar Questions

Mrs. Crocker cleaned out her purse and found nickels and dimes.  After she counted the change, she found that she had a total of $1.85 of nickels ( x ) and dimes ( y ).  Use an equation that models this situation to find how many dimes Mrs. Crocker found if she counted 11 nickels.  Responses11111212131314

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