24 1c coins are set out in a row on a table. Then
every 2nd coin is replaced by a 2c coin
every 3rd coin is replaced by a 5c coin
every 4th coin is replaced by a 10c coin
every 5th coin is replaced by a 20c coin
every 6th coin is replaced by a 50c coin
every 7th coin is replaced by a $1 coin
After all the exchanges have been carried out, what is the total amount left on the table?
Please help, the answer suppose to be $6.30 but I got $7.04?
Thank you
In the end, you have the following values:
coin value
7 $1
14 $1
21 $1
6 .50
12 .50
18 .50
24 .50
5 .20
10 .20
15 .20
20 .20
4 .1
8 .1
16 .1
2 .05
22 .05
the remaining all are .01
I count 16 above out of 24 coins, or .01*8
check my thinking.
you are wrong it is 6.30 that's what i got
Hi Mariela, could you please tell me how you got $6.30. Explanation above still added over $6.30, I'm confused.
Thanks
To determine the amount left on the table, we need to follow the given instructions carefully. Let's break it down step by step:
Step 1: Start with 24 1c coins.
Step 2: Replace every 2nd coin with a 2c coin. This means we will replace coins in positions 2, 4, 6, etc. After this step, we will have 12 1c coins and 12 2c coins.
Step 3: Replace every 3rd coin with a 5c coin. This means we will replace coins in positions 3, 6, 9, etc. After this step, we will have 8 1c coins, 8 2c coins, and 8 5c coins.
Step 4: Replace every 4th coin with a 10c coin. This means we will replace coins in positions 4, 8, 12, etc. After this step, we will have 6 1c coins, 6 2c coins, 6 5c coins, and 6 10c coins.
Step 5: Replace every 5th coin with a 20c coin. This means we will replace coins in positions 5, 10, 15, etc. After this step, we will have 5 1c coins, 5 2c coins, 5 5c coins, 5 10c coins, and 5 20c coins.
Step 6: Replace every 6th coin with a 50c coin. This means we will replace coins in positions 6, 12, 18, etc. After this step, we will have 4 1c coins, 4 2c coins, 4 5c coins, 4 10c coins, 4 20c coins, and 4 50c coins.
Step 7: Replace every 7th coin with a $1 coin. This means we will replace coins in positions 7, 14, 21, etc. After this step, we will have 4 1c coins, 4 2c coins, 4 5c coins, 4 10c coins, 4 20c coins, 4 50c coins, and 4 $1 coins.
Now, let's calculate the total value left on the table.
Total value of 1c coins = 4 (number of coins) * $0.01 (value of each coin) = $0.04
Total value of 2c coins = 4 * $0.02 = $0.08
Total value of 5c coins = 4 * $0.05 = $0.20
Total value of 10c coins = 4 * $0.10 = $0.40
Total value of 20c coins = 4 * $0.20 = $0.80
Total value of 50c coins = 4 * $0.50 = $2.00
Total value of $1 coins = 4 * $1.00 = $4.00
Adding up these values, we get:
$0.04 + $0.08 + $0.20 + $0.40 + $0.80 + $2.00 + $4.00 = $7.52
Based on this calculation, it seems that the total amount left on the table is $7.52, not $7.04.
Please double-check the given information and ensure that the calculations are done correctly.