Your teacher is giving a test worth 250 points. There are 68 questions. Some questions are worth 5 points and the rest are worth

Question

3 years ago

6

2 points. How many of each type of questions are on

1 answer:

NARA [144] · Answer 1 · 2022-03-15T21:19:28+03:00

There are 38 five point questions and 30 two points questions.

Step-by-step explanation:

Given,

Worth of points in test = 250

Number of questions = 68

Let,

x represent the number of 5 points questions

y represent the number of 2 points question

According to given statement;

x+y=68 Eqn 1

5x+2y=250 Eqn 2

Multiplying Eqn 1 by 2

$2(x+y=68)\\2x+2y=136\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(5x+2y)-(2x+2y)=250-136\\5x+2y-2x-2y=114\\3x=114$

Dividing both sides by 3

$\frac{3x}{3}=\frac{114}{3}\\x=38$

Putting x=38 in Eqn 1

$38+y=68\\y=68-38\\y=30$

There are 38 five point questions and 30 two points questions.

Keywords: linear equation, elimination method

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