Question

question
jared and zach are practicing their free throws. jared attempted x shots and made 75% of them. zach attempted 10 more shots than jared did and made 80% of them. together, they made a total of 101 shots. which equation represents this situation?
select the correct answer.

• $0.75x = 0.8(x + 10)$
• $0.75(x + 10) + 0.8x = 101$
• $0.75x + 0.8x + 10 = 101$
• $0.75x + 0.8(x + 10) = 101$

Explanation:

Step1: Find Jared's made shots

Jared attempted \( x \) shots and made 75% of them, so his made shots are \( 0.75x \).

Step2: Find Zach's made shots

Zach attempted 10 more shots than Jared, so Zach's attempts are \( x + 10 \). He made 80% of them, so his made shots are \( 0.8(x + 10) \).

Step3: Total made shots equation

Together, they made 101 shots. So the sum of Jared's and Zach's made shots is 101. Thus, the equation is \( 0.75x + 0.8(x + 10) = 101 \).

Answer:

\( 0.75x + 0.8(x + 10) = 101 \) (the fourth option)