Directions: Study the table and answer the question that follows.

The table gives the total number of notebooks sold by five stationery counters on a particular day, along with the ratio of hardcover notebooks to softcover notebooks sold by each counter.

Stationery Counters	Total Notebooks Sold	Hardcover Notebooks : Softcover Notebooks
A	135	5:4
B	140	9:5
C	180	4:5
D	160	13:19
E	150	7:8

At counter D, only two notebook brands—Orion and Maple—were sold. If 5/13^th of the hardcover notebooks and 6/19^th of the softcover notebooks sold were Orion notebooks, how many Maple notebooks were sold by counter D?

The correct answer is 105.

Step-by-step explanation:

Step 1: Extract data for Counter D from the table.
From the given table, we can gather the following data for counter D:
Total notebooks sold = 160
Ratio of Hardcover notebooks to Softcover notebooks sold = 13 : 19

Step 2: Find the total number of parts in the ratio.

$\text{Total ratio parts}=13+19=32$

Step 3: Calculate the number of Hardcover and Softcover notebooks sold by Counter D.

$\text{Hardcover notebooks sold}=\frac{13}{32}\times 160=13\times 5=65$

$\text{Softcover notebooks sold}=\frac{19}{32}\times 160=19\times 5=95$

Step 4: Calculate the total number of Orion notebooks sold by Counter D.
We are given that 5/13^th of the hardcover notebooks and 6/19^th of the softcover notebooks sold were Orion brand notebooks.

$\text{Orion Hardcover notebooks}=\frac{5}{13}\times 65=5\times 5=25$

$\text{Orion Softcover notebooks}=\frac{6}{19}\times 95=6\times 5=30$

$\text{Total Orion notebooks sold}=25+30=55$

Step 5: Calculate the number of Maple notebooks sold by Counter D.
Since only Orion and Maple brand notebooks were sold at counter D, the remaining notebooks are of the Maple brand.

$\text{Maple notebooks sold}=\text{Total notebooks sold}-\text{Total Orion notebooks sold}$

$\text{Maple notebooks sold}=160-55=105$

Therefore, the total number of Maple notebooks sold by counter D is 105.