QuestionAn NFL kicker misses 2 out of every 5 field goals. If he missed 8, how many did he attempt? Use $x$ for attempts.

Studdy Solution

STEP 1

Assumptions1. The NFL kicker misses out of every5 field goals. . He missed8 field goals throughout the season.

STEP 2

We need to find the ratio of missed field goals to total field goals. From the problem, we know that the kicker misses2 out of every5 field goals. So, the ratio of missed field goals to total field goals is25.

STEP 3

Now, we can set up a proportion to solve for the total number of field goals attempted. The proportion is $\frac{Missed\, field\, goals}{Total\, field\, goals} = \frac{2}{5}$

STEP 4

We know that the kicker missed8 field goals throughout the season. So, we can substitute this value into the proportion $\frac{8}{Total\, field\, goals} = \frac{2}{}$

STEP 5

To solve for the total number of field goals, we can cross-multiply $2 \times Total\, field\, goals =8 \times5$

STEP 6

implify the equation $2 \times Total\, field\, goals =40$

STEP 7

Finally, divide both sides by2 to solve for the total number of field goals $Total\, field\, goals = \frac{40}{2}$

STEP 8

Calculate the total number of field goals $Total\, field\, goals = \frac{40}{2} =20$ The NFL kicker attempted20 field goals throughout the season.

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