Question 2 of 5
Instructions:Select the correct answer.
A store sells 12-packs of ballpoint pens for $1.09 each and composition books for $2.79 each. Cindy buys m packs of ballpoint pens and n composition books. The store offers a 5% discount for every 50th customer who makes a purchase. If Cindy gets the 5% discount, which expression will represent Cindy’s bill?
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To calculate Cindy's bill, we first need to calculate the total cost of the ballpoint pens and the composition books.
The cost of each 12-pack of ballpoint pens is $1.09, and Cindy buys m packs. So, the total cost of the ballpoint pens is m * $1.09.
The cost of each composition book is $2.79, and Cindy buys n composition books. So, the total cost of the composition books is n * $2.79.
Now, we need to check if Cindy qualifies for the 5% discount. The store offers a 5% discount for every 50th customer, so we need to check if Cindy is the 50th or a multiple of 50th customer.
If Cindy qualifies for the discount, the expression to represent her bill will be:
Total cost - (5% of the total cost)
So, the expression representing Cindy's bill is:
(m * $1.09 + n * $2.79) - (5/100) * (m * $1.09 + n * $2.79)
To determine the expression that represents Cindy's bill, we need to calculate the total cost of the ballpoint pens and composition books she purchased, taking into account the possible discount.
The cost of the ballpoint pens is given as $1.09 each, so the total cost of the ballpoint pens is m * $1.09.
The cost of the composition books is given as $2.79 each, so the total cost of the composition books is n * $2.79.
We know Cindy gets a 5% discount if she is the 50th customer. To determine if she gets the discount, we need to know the total number of customers before her. Let's assume there were c customers before Cindy. Then, to check if Cindy is the 50th customer, we need to calculate (c + 1) % 50 == 0 (where % is the modulo operator) or if (c + 1) is divisible by 50.
If Cindy is the 50th customer, she will receive a 5% discount. To calculate the discount, we need to calculate 5% of the total cost without the discount, which is (m * $1.09) + (n * $2.79). The discount will be 0.05 * ((m * $1.09) + (n * $2.79)).
Therefore, the expression that represents Cindy's bill, taking into account the possible discount, is:
(m * $1.09) + (n * $2.79) - [(c + 1) % 50 == 0 ? 0.05 * ((m * $1.09) + (n * $2.79)) : 0]