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.