lola78830
19.07.2019 •
Mathematics
Ascience test, which is worth 100 points, consists of 24 questions. each question is worth either 3 points or 5 points. if x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 what does the solution of this system indicate about the questions on the test? the test contains 4 three-point questions and 20 five-point questions. the test contains 10 three-point questions and 14 five-point questions. the test contains 14 three-point questions and 10 five-point questions. the test contains 20 three-point questions and 8 five-point questions.
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Ответ:
y= # 5-point questions
QUANTITY EQUATION:
x + y= 24
VALUE EQUATION:
3x + 5y= 100
If we solved these two equations by elimination or substitution, we find x and y. I'm going to solve by elimination.
STEP 1:
multiply the quantity equation by -3 to eliminate the x variable and solve for y.
-3(x + y)= -3(24)
-3x - 3y= -72
STEP 2:
add the value equation and the step 1 equation together to eliminate the x term and solve for y.
3x + 5y= 100
-3x - 3y= -72
the x term is eliminated
2y= 28
divide both sides by 2
y= 14 5-point questions
STEP 3:
substitute the y value into either original equation
x + y= 24
x + 14= 24
subtract both sides by 14
x= 10 3-point questions
ANSWER: The test contains 10 3-point questions and 14 5-point questions.
Hope this helps! :)
Ответ:
Let 3-points question be x and the value of 5-points question be y.
x + y = 24
x = 24 - y ...[1]
Now, plug the value of x in 3x + 5y = 100.
3(24 - y) + 5y = 100
72 - 3y + 5y = 100
2y + 72 = 100
2y = 100 - 72
2y = 28
y = 14.
then, x = 24 - 14
x = 10.
Correct choice => [B] The test contains 10 three-point questions and 14 five-point questions.
Ответ:
KN= 15 units
NM= 20 units
Step-by-step explanation: