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Frank bought 6 pens and 3 highlighters in the school store and paid $21 for the whole purchase. His friend , Andy paid $19 for 2 pens and 4 highlighters. If all pens cost the same and all highlighter cost the same, what is the price of one pen?

Sagot :

shubhamchouhanvrVT

The price of one pen will be $1.5 and one highlighter is $4.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

  • Frank bought 6 pens and 3 highlighters in the school store and paid $21 for the whole purchase.
  • His friend, Andy paid $19 for 2 pens and 4 highlighters.

The cost of the pen and the highlighter will be calculated by forming the two expressions from the given data in the question the expressions are as follows:-

6p  +  3h  = 21

2p  +  4 h = 19

Solving the above linear equations by elimination method:-

( 6p  +  3h  = 21 ) x 2

( 2p  +  4 h = 19 ) x 6

The new equations are:-

12p  + 6h  =  42

12p  + 24h  = 114

Substracting the below equation from the above equation we will get:-

6h - 24h  =  -72

-18 h = -72

h  =  $4

Put the value of h in any of the above equations:-

2p  +  4 h = 19

2p  +  4 ( 4 )  = 19

2p  +  16  =  19

p  =  3 / 2

P  = $1.5

Therefore the price of one pen will be $1.5 and one highlighter is $4.

To know more about Expression follow

https://brainly.com/question/723406

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