A car park charges £1.20 to each car entering.
The payment station only accepts £1 coins and 20p coins.
Here are the coins collected from the payment station on a particular day.
Number of £1 coins: 176
Number of 20p coins: 320
Assuming each driver paid the exact amount due on that day, work out the percentage of drivers that paid with six 20p coins
tyy :)
if it helps, i know that the answer is 12%. i would be grateful for an explanation though! :)
If has 176 £1 coins then 176 drivers paid £1 and 20 p coins.
The rest of the driver paid with 20 p coins.
So the number of 20 p coins is:
320 - 176 = 144
Since £1 and 20 p need 6 coins of 20 p, the number of drivers who paid only for 20 p coins is:
144 / 6 = 24
The total number of drivers is:
176 + 24 = 200
The percentage of drivers who paid only with coins id 20 p is:
24 / 200 • 100% =
0.12 • 100% = 12%
The rest of 20 p coins is:
320 - 176 = 144
Well, let's do some math and clowning around to find out!
First, let's calculate the total amount of money collected from the payment station:
Total amount from £1 coins = Number of £1 coins * £1 = 176 * £1 = £176
Total amount from 20p coins = Number of 20p coins * 20p = 320 * 20p = £64
Now, let's calculate the total amount collected:
Total amount collected = Total amount from £1 coins + Total amount from 20p coins = £176 + £64 = £240
Since each car has to pay £1.20, we can divide the total amount collected by £1.20 to find the number of cars that entered the car park:
Number of cars = Total amount collected / £1.20 = £240 / £1.20 = 200
Now, we need to figure out how many of these cars paid with six 20p coins. Since each 20p coin equals 1/5 of a pound, six 20p coins would be 6 * (1/5) = 6/5 = £1.20.
So, the number of cars that paid with six 20p coins would be the same as the number of cars that entered, which is 200.
To find the percentage, we divide the number of cars that paid with six 20p coins by the total number of cars and multiply by 100:
Percentage of drivers that paid with six 20p coins = (Number of cars that paid with six 20p coins / Number of cars) * 100
= (200 / 200) * 100
= 100%
So, all the drivers paid with six 20p coins! That's quite an interesting coincidence or maybe they are all fans of symmetry. Either way, it's a full-on 100% of drivers!
I hope that brought a smile to your face. Let me know if there's anything else I can help with!
To calculate the percentage of drivers that paid with six 20p coins, we need to determine the total number of drivers that entered the car park and the number of drivers who paid with six 20p coins.
First, let's find out how much each driver needs to pay. The car park charges £1.20 to each car entering. Since the payment station only accepts £1 coins and 20p coins, the driver can pay in different combinations of these coins.
One way to pay £1.20 using six 20p coins is by paying four 20p coins and two £1 coins. In this case, the driver would need six 20p coins. Therefore, we can assume that if a driver paid with six 20p coins, they paid the exact amount due.
Now, let's calculate the total number of drivers that entered the car park based on the number of £1 coins collected. Since each driver paid with either six 20p coins or a combination of 20p and £1 coins, we can assume that the total number of drivers is equal to the number of £1 coins collected.
Given that there were 176 £1 coins collected from the payment station, this means that 176 drivers entered the car park.
To find out the number of drivers who paid with six 20p coins, we need to subtract the number of other possible combinations. Since each driver paid with either six 20p coins or a combination of 20p and £1 coins, those who paid with six 20p coins are the remaining drivers after subtracting those who paid with other combinations.
To calculate this, we subtract the number of £1 coins (which represents the drivers who paid with a combination of 20p and £1 coins) from the total number of drivers:
Number of drivers who paid with six 20p coins = Total number of drivers - Number of £1 coins
Number of drivers who paid with six 20p coins = 176 - 176
Number of drivers who paid with six 20p coins = 0
Therefore, there were no drivers who paid with exactly six 20p coins.
As a result, the percentage of drivers that paid with six 20p coins is 0%.