High School

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OHaganBooks.com has two principal competitors: JungleBooks.com and FarmerBooks.com. Combined website traffic at the three sites is estimated at 17,000 hits per day. Only 10% of the hits at OHaganBooks.com result in orders, whereas JungleBooks.com and FarmerBooks.com report that 20% of the hits at their sites result in book orders. Together, the three sites process 2,500 book orders per day. FarmerBooks.com appears to be the most successful of the three and gets as many book orders as the other two combined.

What is the traffic (in hits per day) at each of the sites?

Answer :

Final answer:

To find the traffic at each of the three book websites, we can set up a system of equations. We know that only 10% of the hits at OHaganBooks.com result in orders, whereas 20% of the hits at JungleBooks.com and FarmerBooks.com result in orders. By solving this system of equations, we can determine the traffic at each website.

Explanation:

To determine the traffic at each of the three book websites, we can set up a system of equations using the given information. Let's define variables:

  • Let O be the traffic at OHaganBooks.com
  • Let J be the traffic at JungleBooks.com
  • Let F be the traffic at FarmerBooks.com

We know that the combined website traffic at the three sites is 17,000 hits per day, so we can write the equation O + J + F = 17,000.

We also know that only 10% of the hits at OHaganBooks.com result in orders, whereas 20% of the hits at JungleBooks.com and FarmerBooks.com result in orders. Since FarmerBooks.com gets as many book orders as the other two combined, we can write the equation 0.1O + 0.2J + 0.2F = 2,500 (since 0.2J + 0.2F = 0.2(J + F), and FarmerBooks.com gets as many orders as OHaganBooks.com and JungleBooks.com combined).

We can then solve this system of equations to find the values of O, J, and F. From the first equation, we can isolate O: O = 17,000 - J - F. Substituting this expression for O in the second equation, we get 0.1(17,000 - J - F) + 0.2J + 0.2F = 2,500. Simplifying this equation will give us the value of J + F, which is the combined traffic at JungleBooks.com and FarmerBooks.com. Since FarmerBooks.com gets as many orders as the other two combined, we can set J + F = 2,500 / 0.2 (since 0.2(J + F) = 0.2(2,500 / 0.2) = 2,500).

Using the values of J + F and the first equation, we can solve for J and F. Once we have the values of J and F, we can substitute them into the second equation to find O. The resulting values will give us the traffic at each of the three book websites.

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