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
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 ). Use an equation that models this situation to find how many dimes Mrs. Crocker found if she counted 11 nickels. Responses11111212131314
Solution
The problem can be solved by setting up a system of equations based on the information given.
First, we know that Mrs. Crocker has a total of 0.05 and a dime is worth $0.10.
So, we can set up the following equation to represent the total value of the coins:
0.05x + 0.10y = 1.85
Second, we know that Mrs. Crocker counted 11 nickels. So, x = 11.
Substitute x = 11 into the equation:
0.05(11) + 0.10y = 1.85 0.55 + 0.10y = 1.85 0.10y = 1.85 - 0.55 0.10y = 1.30 y = 1.30 / 0.10 y = 13
So, Mrs. Crocker found 13 dimes.
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 ). Find an equation that models this situation.
Maliya has nickels and dimes in her purse. The total value of the money is $7.80. If Maliya counted 66 nickels, find the number of dimes she has. Write an equation to model this situation and solve for the number of nickels. Responses0.5x + 0.10y = 7.80 Maliya has 25 nickels. 0.5x + 0.10y = 7.80 Maliya has 25 nickels. 0.10x + 0.50y = 7.80 Maliya has 30 nickles0.10x + 0.50y = 7.80 Maliya has 30 nickles0.05x + 10y = 7.80 Maliya has 40 dimes0.05x + 10y = 7.80 Maliya has 40 dimes0.05x + 0.10y = 7.80 Maliya has 45 dimes
Violet has $1.60 worth of nickels and dimes. She has a total of 21 nickels and dimes altogether. Determine the number of nickels and the number of dimes that Violet has.
Katie had 21 nickels, dimes and quarters worth $2.25. If she had twice as many nickels as quarters, how many of each type of coin did Katie have?
Sue has 100 dimes and quarters. If the total value of the coins is $21.40, how many quarters does she have? Write and solve the system of equations.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.