Dwight is taking a drawing class the drawing pencils coast $.97 a piece and a sketchbook costs $5.95 Dwight spent a total of $11.77 solve the equation $0.97n =$5.95=11.77 to find the number of n pencils he bought
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Answer :
Explanation :-
Given :
Each pencil cost = $ 0.97
Sketch Book cost = $ 5.95
Total spent = $ 11.77
Finding the Total cost of pencils :-
Total money he spent - Cost of the sketch book
$11.77 - $5.95
=> 11.77 - 5.95
=> 5.82
So, Total cost of pencils = $5.82
Finding number of pencils :-
Each pencil = $0.97
Total cost of pencils = $5.82
=> Number of pencils = 5.82/0.97
=> Number of pencils = 6
So, Number of pencils (n) = 6
Solving given equation :-
$0.97n + $5.95=11.77
$0.97(6) + $5.95 = 11.77
0.97(6) + 5.95 = 11.77
5.82 + 5.95 = 11.77
11.77 = 11.77
________________________________
Alternative Method to find the value (n) :-
$0.97n + $5.95= $11.77
0.97n + 5.95 = 11.77
0.97n = 11.77 - 5.95
0.97n = 5.82
n = 5.82/0.97
n = 6.
Explanation :-
Given :
Each pencil cost = $ 0.97
Sketch Book cost = $ 5.95
Total spent = $ 11.77
Finding the Total cost of pencils :-
Total money he spent - Cost of the sketch book
$11.77 - $5.95
=> 11.77 - 5.95
=> 5.82
So, Total cost of pencils = $5.82
Finding number of pencils :-
Each pencil = $0.97
Total cost of pencils = $5.82
=> Number of pencils = 5.82/0.97
=> Number of pencils = 6
So, Number of pencils (n) = 6
Solving given equation :-
$0.97n + $5.95=11.77
$0.97(6) + $5.95 = 11.77
0.97(6) + 5.95 = 11.77
5.82 + 5.95 = 11.77
11.77 = 11.77
________________________________
Alternative Method to find the value (n) :-
$0.97n + $5.95= $11.77
0.97n + 5.95 = 11.77
0.97n = 11.77 - 5.95
0.97n = 5.82
n = 5.82/0.97
n = 6.
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