You start collecting loose coins in a jar from laundry. You are hoping that the jar has $5. The jar consist of nickles and quarters. There are 40 coins all together. How many nickels and quarters are in the jar?

15 quarters and 25 nickles

Step-by-step explanation:

15quarts = $3.75

25 nickles=$1.25

total $5

q = 15

n = 25

Step-by-step explanation:

Solution

Let the nickels = n

Let the quarters = q

q + n = 40 (1)

0.25*d + 0.05*n = 5.00 (2) Multiply 2 by 100 to get everything into pennies. It is currently in dollars.

25q + 5n = 500 Multiply (1) by 5

5q + 5n = 200 Subtract

20q = 300 Divide by 20

20q/20 = 300/20 Do the division

q = 15

q + n = 40 Substitute 15 for q

15 + n = 40 Subtract 15 from both sides

15 - 15 + n = 40 - 15

n = 25

Check

15 * 0.25 + 25 * 0.05

3.75 + 1.25

5

Which is what it should equal.