I need to use quarters, dimes, nickles and pennies to make the following:
$1.53 in 12 coins $2.53 in 20
$2.32 in 15 coins $2.00 in 22
$1.45 in 10 coins
$1.76 in 16 coins
$0.85 in 11 coins
$1.01 in 12 coins
$1.29 in 15 coins
so, what ideas do you have?
$1.45 in 10:
3 quarters makes .75, so we need .70 in 7 coins. That means
3 quarters and 7 dimes
try the others.
Carleen has three quarters, four dimes,and three nickels. Spends 55cent. How much mony does she have left
Carleen has three quarters, four dimes,and three nickels. Spends 55cent. How much mony does she have left
To solve these types of problems, you can use a process called coin combination. You'll need to find a combination of quarters, dimes, nickels, and pennies that add up to the given amount and use the given number of coins.
Let's start with the first problem:
1. $1.53 in 12 coins:
- Note that you have 12 coins to work with. We'll break this down into cases:
- Case 1: Let's assume you have only quarters. Since 12 quarters would be $3.00, which is more than $1.53, we can exclude this case.
- Case 2: Let's assume you have only dimes. Since 12 dimes would be $1.20, we can exclude this case.
- Case 3: Let's assume you have only nickels. Since 12 nickels would be $0.60, we can exclude this case.
- Case 4: Let's assume you have only pennies. Since 12 pennies would be $0.12, we can exclude this case.
Now, we need to consider combinations of different coins.
- Case 5: Let's assume you have some quarters and some dimes. Since the total value of 12 coins is $1.53, you can start by trying different values for the number of quarters. You can have anywhere from 0 to 12 quarters. For each number of quarters, subtract their corresponding value from $1.53 and find the number of dimes that would add up to the remaining amount. For example, if you assume you have 3 quarters, you would be left with $0.78 (i.e., $1.53 - 3 * $0.25 = $0.78). Now, try different values for the number of dimes to find a combination that adds up to $0.78. Continue this process until you find a combination that matches the number of coins required (12) and adds up to $1.53.
- Case 6: Follow the same process as Case 5, but replace dimes with nickels and/or pennies.
Note: There are multiple possible combinations for each case. You'll need to try different values and use some trial and error to find the correct combination.
Follow the same process for the other problems, adjusting the number of coins and the target amount accordingly.