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?

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.

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