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Jared and Zach are practicing their free throws. Jared attempted [tex]x[/tex] shots and made [tex]75\%[/tex] of them. Zach attempted 10 more shots than Jared did and made [tex]80\%[/tex] of them. Together, they made a total of 101 shots. Which equation represents this situation?

Select the correct answer:

A. [tex]0.75 x=0.8(x+10)[/tex]

B. [tex]0.75(x+10)+0.8 x=101[/tex]

C. [tex]0.75 x+0.8 x+10=101[/tex]

D. [tex]0.75 x+0.8(x+10)=101[/tex]



Answer :

GinnyAnswer
Let's break down the problem step-by-step to create the equation that represents the given situation.

1. Jared's shots:
- Jared attempted [tex]\( x \)[/tex] shots.
- He made [tex]\( 75\% \)[/tex] of his shots.
- Therefore, the number of shots Jared made is [tex]\( 0.75x \)[/tex].

2. Zach's shots:
- Zach attempted 10 more shots than Jared.
- This means Zach attempted [tex]\( x + 10 \)[/tex] shots.
- He made [tex]\( 80\% \)[/tex] of his shots.
- Therefore, the number of shots Zach made is [tex]\( 0.8(x + 10) \)[/tex].

3. Total shots made:
- Together, Jared and Zach made a total of 101 shots.
- This can be written as: [tex]\( 0.75x + 0.8(x + 10) = 101 \)[/tex].

So the equation that represents this situation is:

[tex]\[ 0.75 x + 0.8(x + 10) = 101 \][/tex]

Thus, the correct answer is:

[tex]\[ 0.75 x + 0.8(x + 10) = 101 \][/tex]

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