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.
Given equations are;
x + y = 24 ( i )
&
3x + 5y = 100 ( ii )
On solving ( i ) & ( ii ) we get,
x = 10 & y = 14
Hence, Test contains 10 three point questions and 14 five point questions.
Hope it helps
The answer is a hope i
option c
Step-by-step explanation:
solving the above equations.
x + y = 24 equation 1
3x + 5y = 100 equation 2
multiplying equation 1 by 3
3x + 3y = 72 equation 3
subtracting equation 3 from equation 2
we get
2y = 28
y = 14
putting value of y in equation 1
x= 10
hence the test contains 10 three point questions and 14 five points questions.
hope it helps you
X= # 3-point questions
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! 🙂
2,600 divided by 80 = 32.5
step-by-step explanation: