The ratio of a quarterback’s completed passes to attempted passes is 7 to 9. If he attempted 45 passes, find how many passes he completed. Round to the nearest whole number if necessary.
A. 9 passes
B. 58 passes
C. 5 passes
D. 35 passes
D?
Yes, D.
Well, my friend, if the ratio of completed passes to attempted passes is 7 to 9, and he attempted 45 passes, we can calculate how many passes he completed by setting up a proportion.
Let's call the number of completed passes "x". So, the proportion would be:
7/9 = x/45
Cross-multiplying, we get:
9x = 7 * 45
Simplifying further:
9x = 315
Now, divide both sides by 9:
x = 35
So, the correct answer is D. 35 passes.
To find out how many passes the quarterback completed, we need to calculate the value of the completed passes.
Let us assume that the number of completed passes is represented by 'x'.
According to the given ratio, the completed passes to attempted passes is 7 to 9. Therefore, we can write the ratio as:
7/9 = x/45
To solve for 'x', we cross-multiply:
9x = 7*45
9x = 315
Dividing both sides of the equation by 9, we find:
x = 35
Therefore, the quarterback completed 35 passes, which corresponds to option D.
To find the number of passes the quarterback completed, we need to determine the proportion of completed passes to attempted passes and then apply that proportion to the given total number of attempted passes.
The ratio of completed passes to attempted passes is 7 to 9. This can be represented as 7/9.
We can set up a proportion using this ratio:
7/9 = X/45
To solve for X (the number of completed passes), we can cross multiply and solve for X:
9X = 7 * 45
9X = 315
X ≈ 35
Therefore, the quarterback completed approximately 35 passes.
The correct answer is D.