221k views
1 vote
The Ratio of boys to girls in Ella's grade is 3 to 4

The ratio of boys to girls in Minh's grade is 4 to 5

Each grade has a total of 20 girls.


Ella's grade has more boys than Minh's grade. True or False

Minh's grade has more bos than Ella's grade. True or False


Ella's grade has 15 boys. True or False

Minh's grade has 8 boys. True or False

User Rogerstone
by
4.3k points

1 Answer

0 votes

Answer:

a) false

b) True

c) True

d) false

Explanation:

Ella's grade:

Ratio of boys to girls = 3:4

Total number of boys and girls = 3+4 = 7

Since Each grade has a total of 20 girls.

Let total number of boys and girls = x

Proportion of girls: (4/7) × x = 20

4x/7 = 20

x = 35

Total number of boys and girls = 35

Number of boys = 35-20 = 15 boys

Minh's grade:

Ratio of boys to girls = 4:5

Total number of boys and girls = 4+5 = 9

Let total number of boys and girls = x

Proportion of girls: (5/9) × x = 20

5x/9 = 20

x = 36

Total number of boys and girls = 36

Number of boys = 36-20 = 16 boys

a) Ella's grade has more boys than Minh's grade.

15 boys < 16boys = boys in Ella's grade < boys in Minh's grade

False

b) Minh's grade has more boys than Ella's grade.

boys in Minh's grade > boys in Ella's grade

True

c) Ella's grade has 15 boys.

True

d) Minh's grade has 8 boys.

False

User Bko
by
3.6k points