Question

Jada told Noah that she has $4.20 worth of quarters and nickels in her pocket and 20 coins all together. Figure out how many of each type of coin she has.

Answer 1

Answer: We can set up a system of equations to solve this problem. Let x be the number of quarters and y be the number of nickels. We know that:

x + y = 20 (the total number of coins)

0.25x + 0.05y = 4.20 (the total value of the coins in dollars)

We can use the first equation to solve for one variable in terms of the other, and then substitute that into the second equation to get a single equation with one variable.

For example:

x = 20 - y

0.25(20-y) + 0.05y = 4.20

5-0.25y + 0.05y = 4.20

5= 4.20

y = 20 - 5

y = 15

x = 20 - 15

x = 5

So Jada has 5 quarters and 15 nickels in her pocket.

Explanation: