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Chapter 10: Problem 2

A bookstore will only order books that come in complete cases. Each case has 150 books and \(\operatorname{costs} \$ 1,757\) Quantity \(\mathbf{A}\) The number of books that can be ordered for \(\$ 10,550\) Quantity \(B\) The number of books that can be ordered for \(\$ 12,290\) 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.

Short Answer

Expert verified
B. Quantity B is greater

Step by step solution

01

Calculate Quantity A

First, calculate how many complete cases can be bought with $10,550. As each case costs $1,757, the quantity can be calculated by dividing $10,550 by $1,757. Only complete cases can be ordered, so discard any decimal points. This gives the number of complete cases, which then need to be multiplied by the number of books per case (150). This gives the total number of books that can be ordered for $10,550.
02

Calculate Quantity B

Next, calculate how many complete cases can be bought with $12,290. Using the same method as in Step 1, divide $12,290 by $1,757 to get the number of complete cases. Discard any decimal points. Multiply this number by 150 to get the total number of books that can be ordered for $12,290.
03

Compare Quantities

Finally, compare the two quantities of books calculated in Steps 1 and 2. Whichever quantity is larger determines the answer to the problem.

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Most popular questions from this chapter

During a sale, a store decreases the prices on all of its scarves by 25 to 50 percent. If all of the scarves in the store were originally priced at \(\$ 20,\) which of the following prices could be the sale price of a scarf? Indicate all such prices. A. $$\$ 8$$ B. $$\$ 10$$ C. $$\$ 12$$ D. $$\$ 14$$ E. $$\$ 16$$

Which of the following is the digit for the sum of all of the distinct prime integers less than 20 ? A. $$4$$ B. $$5$$ C. $$6$$ D. $$7$$ E. $$8$$

If a prime number, \(p,\) is squared and the result is added to the next prime number greater than \(p\) which of the following integers could be the resulting sum? Indicate all such integers. A. $$3$$ B. $$4$$ C. $$7$$ D. $$14$$ E. V$$58$$ F. $$60$$ G. $$65$$ H. $$69$$

$$-2,3,-5,-2,3,-5,-2,3,-5, \dots$$ In the sequence above, the first 3 terms repeat without end. What is the product of the 81 st term through the 85 th term?

If \(x\) is the remainder when a multiple of 4 is divided by \(6,\) and \(y\) is the remainder when a multiple of 2 is divided by \(3,\) what is the greatest possible value of \(x+y ?\) A. $$2$$ B. $$3$$ C. $$5$$ D. $$6$$ E. $$9$$
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