Anatoliy has a combination of 104 nickels and quarters totaling $22. which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, anatoliy has? n = q = 22 0.05n 0.25q = 104 n q = 104 5n 25q = 22 n q = 104 0.05n 0.25q = 22 n q = 22 5n 25q = 104

Third option is correct.

Step-by-step explanation:

Since we have given that

Number of nickels and quarters = 104

Total amount from them = $22

Let the number of nickels be n

Let the quarters be q

So, First equation will be

Since we know that

value of nickels = 0.05 dollars

Value of quarters = 0.25 dollars

Second equation will be

So, there are two system of linear equation can be used to find the number of nickels and the number of quarters.

i.e.

Using elimination we can find the value of n and q :

0.05(n+q =104 )

⇒0.05n+0.05q=5.2-----------(3)

Now, from equation (2) and (3), we get,

0.05n+0.05q=5.2

0.05n+0.25q=22

(-)       (-)           (-)

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0          +0.2q= 16.8

Hence, third option is correct.