Math Snap

STEP 1

Assumptions1. We are dealing with US coins and dollars.
. The available coins are pennies (1 cent), nickels (5 cents), dimes (10 cents), and quarters (25 cents).
3. The total value of the coins should be equal to1 dollar (100 cents).
4. We need to use exactly19 coins to make1 dollar.

STEP 2

We need to find a combination of coins that adds up to100 cents (1 dollar) and uses exactly19 coins. Let's denote the number of pennies as $p$, nickels as $n$, dimes as $d$, and quarters as $q$.
We have two equations1. The total number of coins $p + n + d + q =19$
2. The total value of the coins $p +5n +10d +25q =100$

STEP 3

We can start by guessing and checking different combinations of coins, or we can solve the system of equations. Let's try guessing and checking first.

STEP 4

Let's start with the highest value coin, the quarter. If we use3 quarters, we have75 cents and16 coins left to make up25 cents.

STEP 5

Next, let's use dimes. If we use2 dimes, we have95 cents and14 coins left to make up5 cents.

STEP 6

Finally, we can use5 pennies to make up the remaining5 cents. This gives us a total of19 coins.

So, the combination of coins that adds up to1 dollar and uses exactly19 coins is3 quarters,2 dimes, and5 pennies.