Question

Chris has a jar with nickels and quarters in it. There are 95 coins in the jar and the coins total $12.95. How many of each coin is there?

Answer 1

Answer: 41 nickels, 54 quarters

Step-by-step explanation:

Let N represent the quantity of nickels

Let Q represent the quantity of quarters

Note that the value of a nickel is 5 cents (.05)

and the value of a qaurter is 25 cents (.25)

Value:   .05N + .25Q = 12.95

Quantity:     N  +   Q   = 95

We have a system of equations. Use Elimination Method to solve.

100(.05N + .25Q = 12.95) →   5N + 25Q = 1295

-5 (N  + Q = 95) →                 -5N  -   5Q = -475

                                                        20Q = 820

                                                        ÷20     ÷20

                                                            Q  =  41

Input the value of Q into one of the equations to solve for N

N + Q = 95

N + 41 = 95

N       = 54

Check:

 .05N  +  .25Q  = 12.95

.05(54) + .25(41) = 12.95

  2.70  +  10.25  = 12.95

                12.95 = 12.95    $\large\checkmark$