Anatoliy has a combination of 104 nickels and quarters totaling 22 dollars Which system of linear equations can be used to find the number of nickels, n , and the number of quarters, q , Anatoliy has?
Answer
A
n plus q is equal to 104 0 point 0 5 n plus 0 point 2 5 q is equal to 22
B
n plus q is equal to 104 5 n plus 25 q is equal to 22
C
n is equal to q is equal to 22 0 point 0 5 n plus 0 point 2 5 q is equal to 104
D
n plus q is equal to 22 5 n plus 25 q is equal to 104
Explanation
The total number of coins gives n + q = 104. A nickel is worth $0.05 and a quarter is worth $0.25, so their total value is 0.05n + 0.25q = 22. These equations match choice A; choice B uses coin values in cents but compares them with a dollar total.
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