Question

The price of a notebook is 3 times the price of a pencil. The price of similar 4 notebooks and 3 pencils is $24. Find the price of 3 books and 1 pencil.

please help me​

Answer 1

Answer:

The price of three books and one pencil is $16.

Step-by-step explanation:

Let the price of a pencil be x

then the price of a notebook = 3x

Given that the price of similar 4 notebooks and 3 pencils is 24. That is,

     $4(3x)+3x=24$

Therefore, $12x+3x=24$

              $\15x=24\\\\x=\dfrac{24}{15} \\\\x=\dfrac{8}{5}\\\\x=1.6$

This means that the price of a pencil is $1.6. Therefore the price of a notebook is 3 times 1.6, which is $4.8.

Hence the price of 3 books and 1 pencil is given as,

        $3\times 4.8+1.6=16$

∴ The price of three books and one pencil is $16.