Question

John is a quarterback. This year, he completed 35 passes, which is 70% percent of all the passes he's attempted this year. How many passes has John attempted this year?

Answer 1

To find the total number of passes a quarterback has attempted based on completed passes and percentage completed, use the equation 35 = 0.70 * x and solve for x, yielding 50 total attempts.

Step-by-step explanation:

The student's question asks how many passes John, a quarterback, has attempted this year if he completed 35 passes, which is 70% of all the passes he's attempted. To find the total number of attempted passes, we need to set up a proportion where 35 is 70% of the total passes attempted. Following the steps below, we can determine the answer.

1. Let the total number of passes attempted be represented by x.
2. Since 35 is 70% of x, we write the equation 35 = 0.70 * x.
3. To find x, we divide both sides by 0.70 which gives us x = 35 / 0.70.
4. Therefore, the total number of passes John attempted is 50.

Answer 2

If you would like to know how many passes has John attempted this year, you can calculate this using the following steps:

70% of x passes = 35 passes
70% * x = 35
70/100 * x = 35 /*100/70
x = 35 * 100/70 = 35 * 10/7
x = 50 passes

Result: John has attempted this year 50 passes.