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If the circle graph represents the responses from 500 people, how many more people prefer burgers than cheeseburgers?

subs-10%

Tacos-10%

Chicken-10%

Pizza-30%

burger-25%

Cheeseburgers-15%


125

75

50

25

Respuesta :

Answer:

50

Step-by-step explanation:

[tex]500 \div 100 \times 25 = 125[/tex]

[tex]500 \div 100 \times 15 = 75[/tex]

[tex]125 - 75 = 50[/tex]

50. From 500 people, 25% that prefer burger represent 125 people and 15% that prefer cheeseburger represent 75. This mean there are 50 more people that prefer burgers than cheeseburgers.

The key to solve this problem is by direct rule of three, we will place the 3 values (which we will call “a”, “b”, and “c”) and the unknown value that we want to figure out (“x”) to apply the formula:

a -----------> b

c -----------> x

[tex]x=\frac{b.c}{a}[/tex]

The circle graph represents the responses from 500 people in percentage.

To calculate the amount of people that prefer burgers:

If 100% ----------------> 500 people

    25% ----------------> x

[tex]x=\frac{(500)(25)}{100}= 125[/tex] which means 125 people prefer burgers

To calculate the amount of people that prefer cheeseburgers:

If 100% ----------------> 500 people

    15% ----------------> x

[tex]x=\frac{(500)(15)}{100}= 75[/tex] which means 75 people prefer cheeseburgers.

In order to know how many more people prefer burgers than cheeseburgers, let's apply the difference between people who prefer burgers and people who prefer cheeseburgers:

125 - 75 = 50 which mean 50 more people prefer burgers than cheeseburgers.