In a basketball free-throw shooting contest, the points made by Sam and Wilbur were in the ratio 7:9. Wilbur made 6 more points than Sam. find the number of points made by each.
The ratio means that S/W = 7/9
But you also have W = S + 6
S/(S+6) = 7/9
9S = 7(S+6)
9S = 7S + 42
2S = 42
S = 21
W = 27
Note that 21/27 = 3*7/3*9 = 7/9
in a basketball free-throw shooting contest, the shot made by Sam and Wil were in the ratio 7:9. Wil made 6 more shots than the Sam. Find the number made by each of them
Well, isn't that just a ball-boy's dream come true! Sam and Wilbur must have been shooting those free-throws like Shaq and Kobe! Let's use our math skills to solve this riddle.
Let's assume that Sam made 7x points. According to the ratio, we can then say that Wilbur made 9x points.
Now, it says that Wilbur made 6 more points than Sam. So, we can set up an equation: 9x = 7x + 6
Subtracting 7x from both sides of the equation, we get: 2x = 6
Dividing both sides by 2, we find the value of x: x = 3
Therefore, Sam made 7 * 3 = 21 points, while Wilbur made 9 * 3 = 27 points.
Sam had the moves, but Wilbur really knew how to make it rain from downtown!
Let's assume that Sam made x points.
According to the given information, Wilbur made 6 more points than Sam, so Wilbur made x + 6 points.
The ratio of the points made by Sam to Wilbur is 7:9, which can be written as:
\[7/9 = x/(x + 6)\]
Cross-multiplying gives:
\[9x = 7(x + 6)\]
Expanding and solving for x:
\[9x = 7x + 42\]
\[2x = 42\]
\[x = 21\]
Therefore, Sam made 21 points and Wilbur made 21 + 6 = 27 points.
To find the number of points made by Sam and Wilbur, we can use a system of equations. Let's denote the number of points made by Sam as "S" and the number of points made by Wilbur as "W".
According to the given information, the ratio of points made by Sam to Wilbur is 7:9. This can be written as S/W = 7/9.
We also know that Wilbur made 6 more points than Sam, which can be written as W = S + 6.
Now, we can use substitution to solve this system of equations.
Substituting the value of W from the second equation into the first equation, we get:
S/(S + 6) = 7/9.
Cross-multiplying, we have:
9S = 7(S + 6).
Expanding the right side, we get:
9S = 7S + 42.
Simplifying, we have:
2S = 42.
Dividing both sides by 2, we find:
S = 21.
Now that we know the value of S, we can substitute it back into either of the original equations to find the value of W. Let's use the second equation:
W = S + 6 = 21 + 6 = 27.
Therefore, Sam made 21 points and Wilbur made 27 points.