jack and Kevin play in Basketball game if the ratio of points scored by jack to points scored by kevin is 4to 3 which of the followings could not be the total number
Answers
Answer:
17 is the answer.I hope It will helps you
Complete question:
Jack and Kevin play in a basketball game. If the ratio of points scored by Jack to points scored by Kevin is 4 to 3, which of the following could NOT be the total number of points scored by the two boys?
A. 14
B. 16
C. 28
D. 35
Answer:
16 points cannot be scored by Jack and Kevin combined.
Step-by-step explanation:
Given,
The ratio of points scored by Jack to points scored by Kevin is 4: 3.
To find,
The possible no. of total points scored by Jack and Kevin.
Calculation,
As J/K = 4/3
Here, J = Jack
K = Kevin
Let the common factor of the ratio 4/3 be 'x'
Then the points scored by Jack will be '4x'.
And the points scored by Kevin will be '3x'.
So the total points scored by Jack and Kevin is:
4x + 3x = 7x
(A) The total number of points is 14
But the total number of points is 7x
So, 7x = 14
⇒ x = 2
As the value of 'x' is an integer the total points 14 scored by Jack and Kevin is possible.
(Because the points can only happen in integers)
(B) The total number of points is 16
But the total number of points is 7x
So, 7x = 16
⇒ x = 2.28
As the value of 'x' is not an integer the total points 16 scored by Jack and Kevin is not possible.
(Because the points can only happen in integers)
(C) The total number of points is 28
But the total number of points is 7x
So, 7x = 28
⇒ x = 4
As the value of 'x' is an integer the total points 28 scored by Jack and Kevin is possible.
(Because the points can only happen in integers)
(D) The total number of points is 35
But the total number of points is 7x
So, 7x = 35
⇒ x = 5
As the value of 'x' is an integer the total points 35 scored by Jack and Kevin is possible.
(Because the points can only happen in integers)
Therefore, 16 points cannot be scored by Jack and Kevin combined.
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