The Eye on Malaysia Park charges ticket for RM14 for an adult and RM8 for children. During the school holiday, the price of the children's ticket increased for about quarter than its normal price while the prices of adult's ticket are double. December last year, the park managed to gained profit from the tickets sold on that month for about RMX which is three quarter from the total profit on that month contributed from the adults visitors. If the number of children visitor is 280, find the total profit gained on that month and the number of adult visitors.
normal rate:
adult --- 14
child ---- 8
for holiday:
adult -- 28
child -- 5/4(8) = 10
The rest of your post is quite confusing.
What part of December is a school holiday in Malaysia?
To find the total profit gained on that month and the number of adult visitors, we need to break down the given information.
1. The normal price of an adult ticket is RM14, and during the school holiday, the price doubles. So, the price of an adult ticket during the school holiday is RM14 x 2 = RM28.
2. The normal price of a children's ticket is RM8, and during the school holiday, the price increases by a quarter. So, the price of a children's ticket during the school holiday is RM8 + (RM8/4) = RM8 + RM2 = RM10.
3. Last December, the park gained three-quarters of its total profit from adult visitors. This means that one-quarter of the profit came from children visitors.
Now, let's calculate the number of adult visitors:
Let N be the number of adult visitors.
Given:
Number of children visitors = 280
Total profit from children visitors = (1/4) * Total Profit
From the information given, we can create the following equation using the ticket prices and the number of visitors:
28N + 10(280) = Total Profit
Now, we need to find the value of Total Profit.
Total Profit = 3/4 * Total Profit (from adults) + 1/4 * Total Profit (from children)
Substituting the value of Total Profit, we get:
28N + 10(280) = (3/4 * Total Profit (from adults)) + (1/4 * Total Profit (from children))
Since we have the number of children visitors and their ticket price, we can calculate the profit from children using the formula:
Profit from children = Number of children visitors * Price of children's ticket during the school holiday
Profit from children = 280 * 10 = 2800 RM
Substituting the value of profit from children in the Total Profit equation:
28N + 10(280) = (3/4 * Total Profit (from adults)) + 1/4 * 2800
To simplify, we multiply all terms by 4 to get rid of the fractions:
112N + 40(280) = 3 * Total Profit (from adults) + 2800
Now we can solve for N (number of adult visitors):
112N + 40(280) = 3 * Total Profit (from adults) + 2800
Plug in the information given that Total Profit (from adults) = 3/4 * Total Profit:
112N + 40(280) = 3 * (3/4 * Total Profit) + 2800
Simplify:
112N + 40(280) = (9/4) * Total Profit + 2800
Multiply everything by 4 to eliminate the fraction:
448N + 40(280) = 9 * Total Profit + 11200
Since the total profit gained on that month is what we are looking for, we need to solve for Total Profit. To do that, we need to know the value of N (number of adult visitors).
Please provide the value of N (the number of adult visitors).