On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight-seeing tour?(1) On the sight-seeing tour, the ratio of the number of children to the number of men was 5 to 11.(2) The number of women on the sight-seeing tour was less than 30.

Number of men on sight-seeing = 22

Step-by-step explanation:

Let number of women = w

Let number of children = c

Let number of men = m

(given)

w = 5x and c = 2x for some integer x (since number of people have to be an integer)

Given also that

c = 5y and m = 11y for some integer y

The number of women on the tour was less than 30

That is 5x < 30;

x < 6 (After dividing both sides by 5)

But c = 2x and c = 5y.

Since c is a multiple of 5, 2x has to be a multiple of 5 e.g. 10

We got x < 6 earllier

Using x = 5, c = 2*5 = 10

So, 10 = 5y

Dividing both sides by 5

10/5 = 5y/5 ⇒ 2 = y

Number of men, m = 11y = 11*2 = 22

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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b. 153 students do not participate in sports and seventy-five 12th graders were surveyed