Question

The ratio of students to teachers at a school is 19 to 1 how many students are there in each total number of people

Answer 1

Question:

The ratio of students to teachers at a school is 19 : 1. How many students are there in each total number of people?

A: 100 people

b. 280 people

c.440 people

d.760 people

Answer:

A )95 students  and 5 teachers

B)266 students  and 14 teachers

C)418 students  and 22 teachers

D)722 students  and 38 teachers

Step-by-step explanation:

A: 100 people

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = $\frac{100}{20}$

scale factor  = 5

The number students is $19 \times 5$ = 95

The number of teachers is $1 \times 5$ = 5

b. 280 people

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = $\frac{280}{20}$

scale factor  = 14

The number students is $19 \times 14$ = 266

The number of teachers is $1 \times 14$ =  14

c.440 people

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = $\frac{440}{20}$

scale factor  = 22

The number students is $19 \times 22$ = 418

The number of teachers is $1 \times 22$ =  22

d.760 people

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = $\frac{760}{20}$

scale factor  = 38

The number students is $19 \times 38$ = 722

The number of teachers is $1 \times 38$ =  38