a book cost p18 if bought online and p22.50 if bought at the store. the bookstore sold 240 books and took in p4995. how many books were bought online and how many were bought in the store?

a book cost p18 if bought online and p22.50 if bought at the store. the bookstore sold 240 books and took in p4995. how many books were bought online and how many were bought in the store?

7 hours ago 5
Nature

Let's define the variables:

  • Let xxx = number of books bought online
  • Let yyy = number of books bought in the store

We are given:

  • Cost of a book online = 18 pesos
  • Cost of a book in the store = 220 pesos
  • Total books sold = 240
  • Total money collected = 49 pesos (This seems suspiciously low given the prices, but we'll proceed with the given numbers.)

Step 1: Set up the equations

  1. Total books sold:

x+y=240x+y=240x+y=240

  1. Total money collected:

18x+220y=4918x+220y=4918x+220y=49

Step 2: Solve the system of equations

From the first equation:

y=240−xy=240-xy=240−x

Substitute into the second equation:

18x+220(240−x)=4918x+220(240-x)=4918x+220(240−x)=49

18x+52800−220x=4918x+52800-220x=4918x+52800−220x=49

−202x+52800=49-202x+52800=49−202x+52800=49

−202x=49−52800-202x=49-52800−202x=49−52800

−202x=−52751-202x=-52751−202x=−52751

x=52751202≈261.3x=\frac{52751}{202}\approx 261.3x=20252751​≈261.3

This value is greater than 240, which is impossible since x+y=240x+y=240x+y=240.

Conclusion:

The total amount collected (49 pesos) is inconsistent with the prices and the number of books sold. Please double-check the total money collected or the prices. If you provide the correct total revenue, I can help solve the problem accurately.

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