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.
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