Jesse has 158 quarters and nickels. The value of the collection is $19.10. How many of each coin does she have?

102 nickels and 56 quarters

Step-by-step explanation:

Since the total amount of coins is 158, then...

q+n=158

Since the total amount of money is $19.10, and a quarter is 25 cents and a nickel is 5 cents, then...

0.25q+0.05n=19.10

Now that we have 2 equations and 2 variables, we can solve for this equation by solving the first equation for q and plugging it into the second equation.

q+n=158,

q=158-n

Plug into the other equation,

0.25(158-n)+0.05n=19.10

and solve for n

39.5-0.25n+0.05n=19.10

39.5-0.2n=19.10

-0.2n=-20.4

n=102

there are 102 nickels.

Now solve for quarters.

q+n=158

q+102=158

q=158-102

q=56

4

step-by-step explanation: