I only need help with number twenty seven! I always have had trouble with word problems

Mathematics

1 answer:

svetlana [45]3 years ago

3 0

<h3>Answer:</h3>

multiple choice: 2 points
short response: 4 points

<h3>Step-by-step explanation:</h3>

I often find the difficult part of "this situation" questions to be determining exactly what "situation" is of interest.

You have to read ahead to the last part of the question to determine that the point values of the questions are unknown, and you are supposed to find them based on the given numbers of right questions and total scores.

You know from your experience with tests and scoring that the total score is the sum of the scores for each question type; and that each question type is scored based on the number of right answers and the point value of each.

(a) If we let m and s represent the point values of multple-choice and short-response questions, respectively, then the table and problem wording tell us ...

... 23m +10s = 86 . . . . . your score

... 28m +5s = 76 . . . . . . your friend's score

This is your system of linear equations.

(b) The equations can be solved numerous ways. One way is to subtract the first equation from 2 times the second equation. This will eliminate the variable s.

... 2(28m +5s) -(23m +10s) = 2(76) -(86)

... 33m = 66 . . . . . simplify

... 66/33 = m = 2 . . . . divide by 33

Now, we can substitute this value into the first equation to find s.

... 23·2 +10s = 86

... 10s = 40 . . . . . . . . . subtract 46

... 40/10 = s = 4 . . . . . divide by 10

Multiple-choice questions are worth 2 points; short-response questions are worth 4 points.

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Name : Teacher: Word Problems Score: Date : Tom has 24 blue balloons. He wants to give his six friends the same number of blue b

Karo-lina-s [1.5K]

Each friend of Tommy will receive 4 blue balloons from tommy as Tommy wants to distribute his balloons equally among all of them.

As per the question statement, Tom has 24 blue balloons and he wants to distribute his balloons equally among all 6 of his friends.

To solve this question, let us assume that each friend of Tommy received "x" balloons on equal distribution.

We will now form a Linear Equation of single variable with "x", based on the condition mentioned in the question statement, and solving for "x", we will obtain our desired answer, i.e.,

$(x+x+x+x+x+x)=24\\or, (6*x)=24\\or, x=\frac{24}{6}\\ or, x=4$

Thus, Each friend of Tommy will receive 4 blue balloons.

Linear Equation: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.