nezukochan234
Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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 :

VirαtKσhli

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
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.