In the video, we solved another kind of problem with percents. We had the part of critics who liked the movie My Giant (5) and the percent that this represents (20%). We needed to find the total number of critics who reviewed the movie, or the whole. We set up two equivalent fractions: 20/100, which shows the percent, and 5⁄?, which represents the part and the whole. We can also solve this problem other ways. For example, we can set up an algebraic equation: .2w = 5. This equation shows that 20% of the whole, or .2 times the whole, equals 5.
7 critics liked the sequel to My Giant. This represents 10% of all critics. How many critics reviewed it in all?
A
100
B
700
C
14
D
70
To solve this problem, we can set up an equation using the information given.
Let's say the total number of critics who reviewed the movie is represented by "x". We are told that 10% of all critics liked the sequel, which can be written as 10% of x, or 0.10x. We are also told that 7 critics liked the sequel. Therefore, we can set up the equation:
0.10x = 7
To solve for x, we can divide both sides of the equation by 0.10:
x = 7 / 0.10
x = 70
Therefore, the total number of critics who reviewed the sequel to My Giant is 70. The correct answer is option D) 70.