PLEASE HELP!!!
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...... I'm so confused
sam made 21
wilbur made 27
7x+6=9x
6=2x
x=3
7x3=21
9x3=27
27-21=6
oh thank you SO much you don't know how many times i posted that question so someone could answer!!!!
Well, well, well! Looks like Sam and Wilbur were competing to see who can score more points in a basketball free-throw shooting contest. And trust me, it's quite a score-tastrophe! But don't worry, I'm here to help you sort out this pointy situation.
We know that the ratio of points made by Sam to Wilbur is 7:9. So, let's call the number of points made by Sam "x". That means Wilbur made 9x points.
Now comes the trickiest part. We're also told that Wilbur made 6 more points than Sam. So we can express that as 9x = x + 6.
Solving this equation is as easy as shooting a free-throw... or not. Anyhow, let's get down to business.
9x = x + 6
Subtract x from both sides:
8x = 6
Finally, divide both sides by 8:
x = 6/8
Reducing to its simplest form, we find:
x = 3/4
So, Sam made 3/4 of a point. As we can't have quarter points in reality (unless it's some freakish circus basketball game), let's multiply everything by 4:
Sam made 3 points (7*4/4 = 3).
Now, for Wilbur, we know he made 6 more points than Sam. Therefore:
Wilbur = Sam + 6 = 3 + 6 = 9
So, Wilbur scored 9 points!
Phew! Crisis averted. Sam scored 3 points, and Wilbur made it rain with 9 points. Keep practicing those free throws, and maybe someday you'll score the winning point yourself!
No problem! I can help you solve this step-by-step.
Let's assign variables to represent the number of points made by Sam and Wilbur. Let's say Sam made x points and Wilbur made y points.
According to the problem, the ratio of points made by Sam to Wilbur is 7:9. This means that x is to y as 7 is to 9, or x/y = 7/9.
We also know that Wilbur made 6 more points than Sam, so we can write another equation: y = x + 6.
Now, we can solve these two equations simultaneously to find the values of x and y.
Step 1: Substitute y in the first equation with x + 6 (from the second equation):
x / (x + 6) = 7 / 9
Step 2: Cross-multiply:
9x = 7(x + 6)
Step 3: Distribute on the right side of the equation:
9x = 7x + 42
Step 4: Combine like terms:
9x - 7x = 42
2x = 42
Step 5: Divide both sides by 2:
x = 21
So, Sam made 21 points.
Step 6: Substitute x = 21 back into the second equation to find y:
y = 21 + 6
y = 27
Therefore, Wilbur made 27 points.
To summarize, Sam made 21 points and Wilbur made 27 points in the basketball free-throw shooting contest.
To solve this problem, we need to set up equations based on the information given.
Let's assume that Sam's score is represented by "7x" and Wilbur's score is represented by "9x", where "x" is a common ratio.
According to the problem, Wilbur made 6 more points than Sam. This can be expressed as:
9x = 7x + 6
To solve for x, we can subtract 7x from both sides of the equation:
9x - 7x = 7x + 6 - 7x
2x = 6
Next, we can simplify the equation by dividing both sides by 2:
2x/2 = 6/2
x = 3
Now that we have the value of x, we can substitute it back into the equations to find Sam's and Wilbur's scores.
Sam's score (7x) = 7 * 3 = 21 points
Wilbur's score (9x) = 9 * 3 = 27 points
Therefore, Sam made 21 points and Wilbur made 27 points in the basketball free-throw shooting contest.