Question

Polly surveyed 850 teenagers to find out their favorite type of music. She found that 32% of the teenagers surveyed like hard rock.
Part A: How many teenagers surveyed like hard rock? Show your work. (4 points)

Part B: In another survey, Damian found that 75% of the total number of teenagers surveyed like pop music. If 150 teenagers like pop music, what is the total number of teenagers that Damian surveyed? Show your work. (4 points)

Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)

Answer 1

Part A: 850 times .32 = 272
Part B: is 200 because 150 is 3/4 of 200 and 3/4 = 75%

Answer 2

Answer:

Part A: 272 teenagers surveyed like hard rock.

Part B: 200 is the total number of teenagers that Damian surveyed.

Part C: Polly surveyed 850 teenagers to find out their favorite type of music. She found that 132% of the teenagers surveyed like hard rock.

Step-by-step explanation:

Part A: % = 1/100, 32% = 32/100, so 32% of 850 is

32/100 x 850 = 272.

Part B: if Total is T, then 75% of T is = 150, i.e,

75/100 x T = 150, making T subject of relation, then T, Total = 200.