Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it.
Which value could replace x in the table?
7 – m
23 – m
8(15 – m)
8(15) – m

Respuesta :

Let

x------> the number of multiple choice question

y------> the number of free response question

we know that

[tex]3x+8y=55[/tex] -----> equation A

[tex]x+y=15[/tex]

[tex]x=15-y[/tex] -----> equation B

Substitute equation B in equation A

[tex]3[15-y]+8y=55[/tex]

[tex]45-3y+8y=55[/tex]

[tex]5y=55-45[/tex]

[tex]5y=10[/tex]

[tex]y=2[/tex]

Find the value of x

[tex]x=15-y[/tex]

[tex]x=15-2=13[/tex]

therefore

the answer is

the number of multiple choice question are [tex]13[/tex]

the number of free response question are [tex]2[/tex]

Answer:

its c

Step-by-step explanation:

just took the quiz

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