Answer:
[tex]\large{\boxed{\sf x = 30 , \ y \ = \ 20}}[/tex]
Step-by-step explanation:
Here it is given that Brandon took a 50 question exam worth of 160points . So here the sum of 2 point and 5 point question is 50. So ,
[tex]\sf\qquad\longrightarrow x + y = 50.....(i)[/tex]
Again the maximum marks for the exam is 160 . Therefore ,
[tex]\sf\qquad\longrightarrow 2x + 5y = 160 ..... (ii) [/tex]
Multiply equation (i) with 5 ,
[tex]\sf\qquad\longrightarrow 5x + 5y = 250 [/tex]
Subtract equation (ii) and (i) ,
[tex]\sf\qquad\longrightarrow 5x - 2x = 250-160\\[/tex]
[tex]\sf\qquad\longrightarrow 3x = 90\\[/tex]
[tex]\sf\qquad\longrightarrow x =\dfrac{90}{3}\\[/tex]
[tex]\sf\qquad\longrightarrow \pink{ x = 30} [/tex]
Substitute this value in (i) ,
[tex]\sf\qquad\longrightarrow y = 50-x \\ [/tex]
[tex]\sf\qquad\longrightarrow y= 50-30\\ [/tex]
[tex]\sf\qquad\longrightarrow \pink{ y = 20} [/tex]
Hence ,
- No. of 2 point question = 30
- No. of 5 point question = 20
