Maria gave a store clerk $10.00 for a purchase that cost $9.19.
Part A What is the total amount of change Maria should have received from
the clerk?
Part B How would Maria receive her change using the least number of coins
possible?
Part C Show 1 way Maria could receive her change using only dimes, nickels,
and pennies.
a. change=10.00-9.19=0.81
least number coins
1 half dollar
1 quarter
one dime
four pennies
To find the answers to the questions, we need to perform some calculations.
Part A: The total amount of change Maria should have received can be found by subtracting the cost of the purchase from the amount she gave to the store clerk.
Amount of change = Amount given - Cost of purchase
Amount of change = $10.00 - $9.19
Amount of change = $0.81
So, Maria should have received $0.81 in change from the clerk.
Part B: To receive her change using the least number of coins possible, Maria should aim to use the highest denomination coins first. The commonly used denominations of coins are:
- Quarter ($0.25)
- Dime ($0.10)
- Nickel ($0.05)
- Penny ($0.01)
To minimize the number of coins, Maria can start by using quarters, then dimes, nickels, and finally, pennies.
Here's the breakdown of how Maria could receive her change using the least number of coins in this case:
- Quarters: Maria cannot receive any quarters, as the change is less than $0.25.
- Dimes: Maria can receive 8 dimes (0.10 * 8 = $0.80).
- Nickels: Maria cannot receive any nickels, as the remaining change after using dimes is $0.01, which is less than $0.05.
- Pennies: Maria can receive 1 penny ($0.01).
So, Maria would receive her change using 8 dimes and 1 penny.
Part C: To find a way for Maria to receive her change using only dimes, nickels, and pennies, we need to find combinations that add up to $0.81.
One way Maria could receive her change is as follows:
- Dimes: Maria can receive 8 dimes (0.10 * 8 = $0.80).
- Nickels: Maria can receive no nickels because no combination of nickels adds up to $0.01.
- Pennies: Maria can receive 1 penny ($0.01).
So, Maria could receive her change using 8 dimes and 1 penny.