The outward appearance of a particular trait is called that _____
1 answer:
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Answer:
Let x be the number of 3- point questions and y be the number of 5-points questions.
As per the given statement:
A science test, which is worth 100 points, consists of 24 questions.
Then the system of equation is:
......[1] and
3x + 5y = 100 ......[2]
we can write equation [1] as ;
y = 24 -x
Substitute this in equation [2] we have;
Using distributive property:
3x + 120 - 5x =100
Combine like terms:
120 - 2x =100
Subtract 120 from both sides we get;
120 -2x -120 = 100-120
Simplify:
-2x = -20
Divide both sides by -2 we get;
Simplify:
x = 10
Substitute the value of x in equation [1] to solve for y;
10 + y =24
Subtract 10 from both sides we get;
10 + y -10 = 24-10
Simplify:
y = 14
Therefore, the number of 3-points questions x is, 10 and the number of 5-points questions y is, 14