Question

350 people watched a beauty contest. Some paid GH¢20.00 each while others paid GH¢30.00 each. The total amount collected was GH¢8,800.00. Find how many paid the two different rates.

Answer 1

Answer: 170 people paid GH¢20 and 180 people paid GH¢30

Explanation:

Let the number of people that paid GH¢20 be represented by x.

Let the number of people that paid GH¢30 be represented by y.

Based on the above information given, we can form an equation which will be:

x + y = 350 ....... i

20x + 30y = 8800 ....... ii

Multiply equation i by 20

20x + 20y = 7000 ...... iii

20x + 30y = 8800 ...... iv

Subtract iii from iv

10y = 1800

y = 1800/10

y = 180

Since x + y = 350

x = 350 - y.

x = 350 - 180

x = 170

Therefore, 170 people paid GH¢20 and 180 people paid GH¢30