Question

(c) The annual membership fee in 2013 is $198 for each adult and $75 for each child.

Adult = 440 members
Children = 120 members

(i) Calculate the total amount the 560 members pay in 2013.


(ii) The adult fee of $198 in 2013 is 5.6% more than the fee in 2012.
Calculate the adult fee in 2012.​

Answer 1

i ) $96120

ii ) Singular adult fee in 2012: $186.91

Explanation:

( i )

To find the costs of all 560 peoples you:

Multiply the amount of people by the fee,

440 × 198 = $87120

120 × 120 = $9000

Add these go get the sum of member fees: $96120

( ii )

First calculate what 1% of the adult fee would be:

198 ÷ 100 = 1.98 = 1%

Then calculate what 0.1% of the fee:

1.98 ÷ 10 = 0.198 = 0.1%

Now multiply 5 by the value of 1% to get 5% :

5 × 1.98 = 9.9

Then multiply 6 by the 0.1% to get 0.6% :

0.198 × 6 = 1.188

Add these numbers together to get:

1.188 + 9.9 = $11.088 = 5.6%

Due to the fact this question is referring to money we will round this number 2 decimal places (as money does not exceed 2dp)

$11.09

We now subtract this from the 2013 fee to find out the 2012 fee

$198 - $11.09 = $186.91

$186.91 was the cost of a singular adult fee in 2012