Atest has twenty questions worth 100 points. the test consists of true/false questions worth 3 points each and multiple choice questions worth 11 points each. how many multiple choice questions are on the test? (3 points. 1 point for setting up a correct system of equation, 1 point for the work, 1 point for the correct solution.)

t+m=20> t=20-m

3t+11m=100

Substitute

3(20-m)+m=100

60m-3m+11m=100

Get rid of 60

-3m+11m=40

8m=40

Divide by 8

m=5

This tells us that there are 5 Multiple Choice questions. So the remaining 15 question on the test must be True/False questions.

If we got all 5 Multiple Choice questions correct we would score 11 points for each of the five questions and this would give us 55 points. Then if we got all 15 True/False questions correct at 3 points each, we would score 15 times 3 or 45 points. So the total number of points on the test would be 55 + 45 = 100.

Step-by-step explanation:

The answer is:

There are 15 true/false questions while there are 5 multiple choice questions.

To solve the problem, we need to write two equations using the given information.

We know that there are twenty (20) questions consisting of true/false and multiple choice questions, so, writing the first equation we have:

Let be the true/false questions "x" and the multichoice questions "y".

First equation,

Also, we know that the true/false questions worth 3 points while the  multichoice questions worth 11 points making a total of 100 points for the total examen, so, writing the second equation, we have:

Second equation,

Now, we have to isolate one of the variables in function of the other variable, so, from the first equation, we have:

Then, substituting "x" into the second equation, we have:

Then, substituting "y" into the first equation, we have:

Hence, we have that there are 15 true/false questions while there are 5 multiple choice questions.

Let's prove that we are right by substituting the obtained answers into the both equations, if the equations are satisfied, the answers are ok.

Substituting into the first and the second equation, we have:

First equation,

Second equation,

We can see that both equations are satisfied, so, the answers are ok.

Have a nice day!

this story was prepared by jim

mccullaugh in los angeles and

al stewart in new york.

new york the colossal success of "top gun" appears to have dramatically altered madison avenue's

perception of corporate sponsorship

of home video projects.

the paramount home video re- lease, featuring a 60- second diet

pepsi spot, was by no means the

first prerecorded video to carry an advertiser's plug, but it was the

first major theatrical release to do so. in the aftermath of the title's

success, paramount is widely ex- pected to ink a similar deal for

"crocodile dundee" or "star trek

iv" or both.

corporate america's new attraccds push british

recording sales

to 19% gain

london fueled by the compact

disk boom, the value of u.k. manu- facturer shipments of recordings

rose 19% in the 12 -month period ended march 1987, according to the

british phonographic industry.

total value of u.k. shipments for

the period was $755 million for all

configurations. (all value figures

are based on an exchange rate of

$1.68 to the pound sterling.)

cd sales totaled 10.7 million units

worth $121.3 million- compared

with 3.7 million units worth $39.5

million in the prior 12 months -and

accounted for two -thirds of the

overall gain in trade value. at present growth rates, says the bpi, cd

sales for calendar 1987 will reach 20

(continued on page 79)

step-by-step explanation:

b is the answer that makes most sense

step-by-step explanation: