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Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian spent a total of $26.50. The book costs can be represented by the system of equations below.

h + p = 25.
1.50h + 0.50p = 26.50

How many paperback books did Gillian buy?

Respuesta :

meerkat18
The system of linear equations that best represent the given is already shown above. Express the p of the first equation in terms of h and substitute this expression to the second equation. That is,
                           1.50h + 0.5(25 - h) = 26.50
The value of h from the equation above is 14. Thus, the number of paperback books that Gillian bought, p, is 11. 

The number of paper book Gillian bought if he spent a total of $26.50 is 11.

How to find the variables in a system of equation?

h + p = 25.

1.50h + 0.50p = 26.50

where

  • h = hardcover book
  • p = paper book

Therefore,

1.50h + 1.50p = 37.5

1.50h + 0.50p = 26.50

p = 11

Therefore,

h + p = 25.

h = 25 - 11

h = 14

Therefore, Gillian bought 11 paper book.

learn more on system of equation here: brainly.com/question/19549073

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