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Nitella [24]
3 years ago
6

Mrs. Kellen's most recent math test consisted of 50 questions. Some of the questions were worth two points and the rest of the q

uestions were worth 3 points. If there were 115 points available on the test, how many questions were worth 2 points?
Mathematics
1 answer:
WARRIOR [948]3 years ago
7 0

Answer:

The answer to your question is: 35 questions worth 2 points and 15 questions worth 3 points.

Step-by-step explanation:

Data

Number of questions = 50

Total points = 115

x = questions worth 2 points

y = questions worth 3 points

Process

write to equations

(1)  ---------------    x + y = 50

(2) --------------    2x + 3y = 115

Solve them by substitution

           x = 50 - y

         2 (50 - y) + 3y = 115

          100 - 2y + 3y = 115

           3y -2 y = 115 - 100

                     y = 15

           x = 50 - 15

            x = 35

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Explanation

Given the steps taken by bryce as shown, we are to find where he made an error

\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}

Given the expression;

\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\

Step 1:Expand the bracket using the distributive law;

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