Math

QuestionAn NFL kicker misses 2 of 11 field goals. If he missed 8, how many did he attempt? Use x=attemptsx = \text{attempts}.

Studdy Solution

STEP 1

Assumptions1. The NFL kicker misses out of every11 field goals. . He missed8 field goals throughout the season.

STEP 2

First, we need to set up a ratio to represent the kicker's field goal attempts and misses. The ratio of field goals attempted to field goals missed is11 to2.
FieldgoalsattemptedFieldgoalsmissed=112\frac{Field\, goals\, attempted}{Field\, goals\, missed} = \frac{11}{2}

STEP 3

Now, we know that the kicker missed8 field goals throughout the season. We can set up an equation to solve for the number of field goals attempted.
Fieldgoalsattempted8=112\frac{Field\, goals\, attempted}{8} = \frac{11}{2}

STEP 4

To solve for the number of field goals attempted, we can cross-multiply.
Fieldgoalsattempted=112×8Field\, goals\, attempted = \frac{11}{2} \times8

STEP 5

Calculate the number of field goals attempted.
Fieldgoalsattempted=112×8=44Field\, goals\, attempted = \frac{11}{2} \times8 =44The NFL kicker attempted44 field goals throughout the season.

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