Tickets for the school play were priced at ₦520.00 each for adults and ₦250.00 each for kids. How many kids' tickets were sold if the total sales were ₦171,...

Assessment: JAMB UTME - Mathematics - 2023 Subject: General Mathematics

Question 1 Report

Tickets for the school play were priced at ₦520.00 each for adults and ₦250.00 each for kids. How many kids' tickets were sold if the total sales were ₦171,000.00 and there were 5 times as many adult tickets sold as children's tickets?
Answer Details
To find the number of kids' tickets sold for the school play, we'll need to break down the given information:
1. The price of an adult ticket is ₦520.00. 2. The price of a kids' ticket is ₦250.00. 3. The total sales from all the tickets sold is ₦171,000.00. 4. The number of adult tickets sold is 5 times the number of kids' tickets sold.
Let's use a logical approach to solve this problem step by step.
Step 1: Let's assume that "x" represents the number of kids' tickets sold.
Step 2: To find the number of adult tickets sold, we'll need to multiply the number of kids' tickets sold by 5, since there were 5 times as many adult tickets sold as children's tickets. So the number of adult tickets sold would be 5x.
Step 3: Now let's calculate the total sales from the tickets sold. To do this, we'll need to multiply the price of an adult ticket (₦520.00) by the number of adult tickets sold (5x), and the price of a kids' ticket (₦250.00) by the number of kids' tickets sold (x). Then we can add these two values together to get the total sales.
Total Sales = (₦520.00 * 5x) + (₦250.00 * x) = ₦2600.00x + ₦250.00x = ₦2850.00x
Step 4: We know that the total sales is ₦171,000.00. So we can set up an equation using the above expression for total sales:
₦171,000.00 = ₦2850.00x
Step 5: To isolate "x" (the number of kids' tickets sold), we need to divide both sides of the equation by ₦2850.00:
₦171,000.00 / ₦2850.00 = x
Step 6: Simplifying the equation, we find:
x = 60
Therefore, the number of kids' tickets sold for the school play is 60.

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