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?
A.
0.05 − 1.09m + 2.79n
B.
1.05 + 1.09m + 2.79n
C.
1.05(1.09m + 2.79n)
D.
0.95(1.09m + 2.79n)
The cost of m 12-packs of ballpoint pens is 1.09m, and the cost of n composition books is 2.79n. The 5% discount will be applied to the entire bill, so the expression for Cindy's bill will be:
1.05(1.09m + 2.79n)
Therefore, the correct answer is C.
Ron’s class donated d dollars to a local charity. Danny’s class donated 21% more than Ron’s class. Which expression shows the amount Danny’s class donated in terms of the amount donated by Ron’s class?
The correct answer is:
C. 1.05(1.09m + 2.79n)
Since the store offers a 5% discount for every 50th customer, Cindy will get a 5% discount if she is the 50th customer or a multiple of 50. This means that the total bill before the discount is applied would be 1.09m + 2.79n.
To calculate Cindy's bill after the 5% discount is applied, we multiply the total bill by 1.05. Therefore, the expression that represents Cindy's bill is 1.05(1.09m + 2.79n).
To determine the correct expression that represents Cindy's bill, we need to consider the cost of the 12-packs of ballpoint pens, the composition books, and the 5% discount for being the 50th customer.
First, let's calculate the cost of the ballpoint pens:
The cost of one 12-pack of ballpoint pens is $1.09, and Cindy buys m packs.
So, the cost of the ballpoint pens is 1.09m.
Next, let's calculate the cost of the composition books:
The cost of one composition book is $2.79, and Cindy buys n books.
So, the cost of the composition books is 2.79n.
Now, let's consider the 5% discount:
Since Cindy gets the 5% discount for being the 50th customer, we need to subtract 5% of the total bill from the final amount she pays.
The expression that represents Cindy's bill, taking into account the cost of the ballpoint pens, the composition books, and the 5% discount, is:
1.09m + 2.79n - (0.05 * (1.09m + 2.79n))
Simplifying the expression:
1.09m + 2.79n - 0.05 * 1.09m - 0.05 * 2.79n
Now, let's apply the distributive property:
1.09m + 2.79n - 0.0545m - 0.1395n
Combining like terms:
(1.09 - 0.0545)m + (2.79 - 0.1395)n
Simplifying further:
1.0355m + 2.6505n
Therefore, the correct expression that represents Cindy's bill is:
1.0355m + 2.6505n
None of the options provided exactly matches this expression. Hence, none of the options is the correct answer.