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 :)

3 answers

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