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 = [tex]\frac{100}{20}[/tex]
scale factor = 5
The number students is [tex]19 \times 5[/tex] = 95
The number of teachers is [tex]1 \times 5[/tex] = 5
b. 280 people
Ratio = 19 : 1
The sum of the ratio is 19 + 1 = 20
Scale factor = [tex]\frac{280}{20}[/tex]
scale factor = 14
The number students is [tex]19 \times 14[/tex] = 266
The number of teachers is [tex]1 \times 14[/tex] = 14
c.440 people
Ratio = 19 : 1
The sum of the ratio is 19 + 1 = 20
Scale factor = [tex]\frac{440}{20}[/tex]
scale factor = 22
The number students is [tex]19 \times 22[/tex] = 418
The number of teachers is [tex]1 \times 22[/tex] = 22
d.760 people
Ratio = 19 : 1
The sum of the ratio is 19 + 1 = 20
Scale factor = [tex]\frac{760}{20}[/tex]
scale factor = 38
The number students is [tex]19 \times 38[/tex] = 722
The number of teachers is [tex]1 \times 38[/tex] = 38
