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erik [133]
3 years ago
10

D Randy chooses to survey every 5th student in the

Mathematics
1 answer:
ioda3 years ago
7 0

Answer:

Total number of students surveyed in cafeteria is 700

Total number of students who support New PE equipment will be 420.

Step-by-step explanation:

Given that,

Randy surveyed every 5th student in the cafeteria. he surveyed total of 140 students. He got 84 students supports buying new PE equipment.

So,

Basically Randy surveyed 5th student in the cafeteria.

then he will next survey 10th student in the cafeteria.

Means,

        Position of students surveyed             Total No. of students surveyed

               5th student                                                        1

              10th student                                                        2

               15th student                                                       3                      

                         .

                         .              

                         .  

              700th student                                                     140

Here,

we get that total number of students surveyed in cafeteria is 700.

For the number of PE equipment supported by  84 out of 140 students.

Let the Number of students who support PE equipment out of 700 be x.

∴                                       \frac{x}{700}=\frac{84}{140}

Applying cross-multiplication We get,

                                         x=\frac{84\times700}{140}

                                         x=420

Hence,

Total number of students who support New PE equipment will be 420.

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