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If 4 notebooks and 3 packages of pens cost $7.43 and 5 notebooks and 2 packages of pens cost $7.03, what is the price of 1 notebook?

A) $0.89
B) $0.79
C) $1.29
D) $1.09

Sagot :

  • 4 notebooks and 3 packages of pens cost $7.43 and 5 notebooks and 2 packages of pens cost $7.03.
  • Let the cost of 1 notebook be x and that of 1 package of pens be y.
  • Therefore, cost of 4 notebooks = 4x, cost of 3 packages of pens = 3y.
  • So, 4x + 3y = $7.43 ...(1)
  • Also, cost of 5 notebooks = 5x, cost of 2 packages of pens = 2y.
  • Therefore, 5x + 2y = $7.03 ...(2)
  • Multiply equation (1) with 5, we get

5(4x + 3y) = $7.43 × 5

or, 20x + 15y = $37.15 ...(3)

  • Multiply equation (2) with 4, we get

4(5x + 2y) = $7.03 × 4

or, 20x + 8y = $28.12 ...(4)

  • Subtract (4) from (3), we have

20x + 15y-(20x + 8y) = $37.15 - $28.12

or, 7y = $9.03

or, y = $1.29

  • 4x + 3y = $7.43

or, 4x + 3($1.29) = $7.43

or, 4x + $3.87 = $7.43

or, 4x = $7.43 - $3.87

or, 4x = $3.56

or, x = $0.89

Answer:

A) $0.89

Hope you could get an idea from here.

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