Mrs.Fahley announced a 50 point quiz. The quiz has 15 questions some questions worth 4 some worth 3 how many 4 point questions a

Question

3 years ago

12

re there?

1 answer:

lys-0071 [83] · Answer 1 · 2022-03-29T09:59:48+03:00

The four points questions are 5.

Step-by-step explanation:

Total points = 50

Total questions = 15

There are 4 points questions and 3 points questions.

Let,

x be the number of 4 points questions

y be the number of 3 points questions

According to given statement;

x+y=15 Eqn 1

4x+3y=50 Eqn 2

Multiplying Eqn 1 by 3

$3(x+y=15)\\3x+3y=45\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(4x+3y)-(3x+3y)=50-45\\4x+3y-3x-3y=5\\x=5$

As x variable was used for 4 points questions, therefore,

The four points questions are 5.

Keywords: linear equation, subtraction

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