Question

1. A store manager marked up the price of a $12 clock by 20%. What is the new price of the clock?

2. On a math quiz, Kyra answered 7 of 10 questions correctly. Express her quiz score as a percent.

3. 96 students are enrolled in the Dance Program at Castillero. Of those students, 54 are eighth-graders. The remaining students are 6th or 7th graders. What percentage of the students are not eighth graders?

Answer 1

1) new price of the clock is $14.4

2) Kyra scored 70% marks

3) 43.75% students are not eighth graders

Explanation:

1. A store manager marked up the price of a $12 clock by 20%. What is the new price of the clock?

Price of Clock = $12

Mark up = 20%

We need to find new price of clock.

The price of clock can be found by finding 20% of 12 and then adding that amount in original price.

So, finding 20% of 12

`20\% of 12 \\=(20)/(100)* 12\\=2.4`

So 20% of 12 is 2.4

Now finding new price:

New Price = Actual Price + Mark up

New Price = 12 + 2.4

New Price = 14.4

So, new price of the clock is $14.4

2. On a math quiz, Kyra answered 7 of 10 questions correctly. Express her quiz score as a percent.

Total questions = 10

Correct answers = 7

We need to express her quiz score as percent

It can be found using formula:
`Percent Score = (Obtained\:Marks)/(Total\:Marks)* 100\%\\`

Putting values and finding percentage

`Percentage = (Obtained\:Marks)/(Total\:Marks)* 100\%\\\\Percentage = (7)/(10)* 100\%\\Percentage = 70\%`

So, Kyra scored 70% marks

3. 96 students are enrolled in the Dance Program at Castillero. Of those students, 54 are eighth-graders. The remaining students are 6th or 7th graders. What percentage of the students are not eighth graders?

Total Students = 96

Number of eighth-graders students = 54

Remaining students = 96 - 54 = 42

So, 42 students are 6th or 7th graders

We need to find percentage of the students are not eighth graders.

`(42)/(96)* 100\%\\=43.75\%`

So, 43.75% students are not eighth graders