Nezukochan234idn
Answered

IDNLearn.com makes it easy to find accurate answers to your questions. Our platform offers reliable and comprehensive answers to help you make informed decisions quickly and easily.

brandon took a 50-question exam worth a total of 160 points. There were x two-point questions and y five point questions. How many of each type of question were on the exam?

Sagot :

VirαtKσhliidn

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
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.