Can you check the following?
1. Alicia shoots basketball at a hoop 100 times. She hits the backboard and misses with 2/5 of her hots, hits the rim and misses with 32% of her shots and makes basket with rest of her shots. How many baskets did she make?
A. 68
B. 40
C. 32
D. 28
Ans: D
2/5 = 40% + 32% = 72% misses
100 - 72 = 28
2. OF the 60 students who auditioned, 40% were asked to come back for a second audtion. After the second audtion, 6 students were asked to come back for the final audition.
What percent of students from the second autdition were asked to come back for the final audtion?
A. 4%
B. 10%
C. 15%
D. 25%
Ans: D
60 *.40 = 24
6/24 = 25%
thanks!
Both answers are right.
You're welcome.
To find the answer to the first question, we need to determine how many shots Alicia missed in total. Given that she misses 2/5 of her shots with the backboard and 32% of her shots with the rim, we can add these percentages together to get the total percentage of shots missed.
2/5 + 32% = 40% + 32% = 72%
So, Alicia missed 72% of her shots. To find the number of shots missed, we subtract 72% from 100% since 100% represents all the shots taken.
100% - 72% = 28%
Therefore, Alicia made 28 baskets. Therefore, the correct answer is option D.
To find the answer to the second question, we need to determine the percentage of students from the second audition who were asked to come back for the final audition. We know that 40% of the 60 students who auditioned were asked to come back for a second audition.
40% of 60 = 0.40 * 60 = 24
So, 24 students were asked to come back for the second audition. And out of those 24 students, 6 students were asked to come back for the final audition.
To find the percentage, we divide the number of students asked to come back for the final audition (6) by the total number of students from the second audition (24) and multiply by 100.
(6/24) * 100 = 25%
Therefore, the correct answer is option D, 25%.