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?

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.

priceof onepenwill be$1.5and one highlighter is$4.## What is an expression?

Expressionin maths is defined as thecollectionof the numbers variables andfunctionsby using signs likeaddition, subtraction,multiplicationand division.Given that:-Frankbought6 pensand3 highlighters in the schoolstoreand paid$21 for the wholepurchase.friend, Andy paid$19for2 pens and4 highlighters.costof the pen and thehighlighterwill be calculated byformingthe twoexpressionsfrom the given data in thequestionthe expressions are as follows:-Solvingthe above linearequationsby eliminationmethod:-equationsare:-Substractingthe below equation from theaboveequation we willget:-h = $4valueofhin any of theaboveequations:-P = $1.5priceof onepenwill be$1.5and one highlighter is$4.Expressionfollow