Answer and Explanation:
Given that we have one penny, one nickel, and one quarter on the table, we need to solve for the value of each possible combination (in cents) that we can make by using some or all of the coins.
First, we should establish the value of each coin:
- penny = 1¢
- nickel = 5¢
- quarter = 25¢
Next, we can list out the possible combinations using 1, 2, or 3 coins:
(P = penny, N = nickel, Q = quarter)
- P N Q
- P N
- P
- N Q
- N
- P Q
- Q
Finally, we can find the value of each combination:
- P + N + Q = 1¢ + 5¢ + 25¢ = 31¢ (L)
- P + N = 1¢ + 5¢ = 6¢ (M)
- P = 1¢ (G)
- N + Q = 5¢ + 25¢ = 30¢ (F)
- N = 5¢ (N)
- P + Q = 1¢ + 25¢ = 26¢ (K)
- Q = 25¢ (E)