Mike surveyed 250 teenagers to find out their favorite food. he found that 76% of the teenagers surveyed like burgers. part a: how many teenagers surveyed like burgers? show your work. part b: in another survey, jane found that 25% of the total number of teenagers surveyed like sandwiches. if 50 teenagers like sandwiches, what is the total number of teenagers that jane surveyed? show your work. part c: give an example of a situation in which a percentage is greater than 100%.

Part A: After surveying 250 teenagers, 76% say they like burgers.

76% is the same as 0.76

Multiply 250 with 0.76

250 x 0.76 = 190

190 like burgers.



Part B: 25% of teens surveyed like sandwiches. 50 like sandwiches.

50/x = 25/100

Cross multiply

50(100) = 25(x)

25x = 5000

Isolate the x, divide 25 from both sides

25x/25 = 5000/25

x = 5000/25

x = 200

200 were surveyed



A survey was asking for at least 100 people to respond. However, 150 people responded to the survey. how much people surveyed more than the estimated amount? - About 150% of people in all surveyed, with 50% over the projected amount.



hope this helps

Part A. There were 250 teenagers surveyed (100% of tenagers = 250)
therefore 1 % = 250/100 = 2.5 
76% = 1% x 76 = 2.5 x 76 = 190 teenagers of the 250 surveyed liked burgers

Part B: Jane surveyed 25% (which is equal to 50 teenagers, i.e. a quarter of the teenagers surveyed is 50) To get 100% we simply get 4 quarters, i.e. multiply 50 by 4 = 200 teenagers were surveyed by Jane. 

Part C: It is impossible to give an example where a percentage is greater than 100%, since, by definition , percentage means "per 100".