Respuesta :
The solution to he word problem leading to simultaneous equation is as follows;
The number of problems Pema is able to solve correctly is 15 problems
The method by which we arrived at the above value is as follows:
The given parameters of the question are;
Amount Pema's dad promise to pay her for every problem she gets right = Nu 5
Amount he would take away for any problem missed = Nu 3 (Therefore, Nu -3)
Amount Pema was paid after working 20 problems = Nu 60
Solution;
Let x represent the number of problems she gets right (solves correctly), and let y represent the number of problems she missed, we have the following system of (simultaneous) equations;
x + y = 20...(1)
5·x - 3·y = 60...(2)
Multiplying equation (1) by 3 and adding the result to equation (2) gives;
3 × (x + y = 20) ⇒ 3·x + 3·y = 60
[tex]{}[/tex] 5·x - 3·y = 60
+ 3·x + 3·y = 60
[tex]{}[/tex]8·x + 0 = 120
x = 120/8 = 15
x = 15
The number of problems she solves correctly, x = 15
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