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
Question
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
Solution
The question seems to be a bit confusing, but I'll try to clarify it.
Maliya has nickels and dimes in her purse. The total value of the money is $7.80. If Maliya counted 66 nickels, we need to find the number of dimes she has.
First, let's understand the value of nickels and dimes. A nickel is worth 0.10.
Let's denote the number of nickels as 'n' and the number of dimes as 'd'.
From the problem, we know that:
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The total value of nickels and dimes is $7.80. So, 0.05n + 0.10d = 7.80.
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Maliya counted 66 nickels. So, n = 66.
Substitute n = 66 into the first equation, we get:
0.05*66 + 0.10d = 7.80 3.30 + 0.10d = 7.80 0.10d = 7.80 - 3.30 0.10d = 4.50
To find the number of dimes, divide both sides of the equation by 0.10:
d = 4.50 / 0.10 d = 45
So, Maliya has 45 dimes in her purse.
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