Question

A bookstore will only order books that come in complete cases. Each case has 150 books and costs$1,757costs⁡$1,757

Quantity AA

The number of books that can be ordered for $10,550$10,550

Quantity BB

The number of books that can be ordered for $12,290$12,290

A. Quantity A is greater.

B. Quantity B is greater

C. The two quantities are equal.

D. The relationship cannot be determined from the information given.

Answer 1

C. The two quantities are equal.

Explanation:

There is only one option for ordering books. Whole cases of 150 books that cost $1757/case. We have two options for buying these cases: $10,550 and $12,290 total expense.

To find which number offers the greatest number of books, lets divide the two totals by the $1757/case

Amount $1757/case

$10,550 6.0046 cases

$12,290 6.9949 cases

Since we can't buy a partial case, each number must be rounded down to find the number of wole cases that can be purchased. This is especially agonizing, since the higher total results in almost, just a whisker, away from an even 7 cases. But 6.9949 does not round up, unless the supplier is willing to ignore the small shortfall. Lacking any knowledge of the book supplier's disposition, we (I) must argue that both options yield the same number of books: 6 cases of 150 books each, or 900 books total.