Chapter 6.1, Problem 23PPS

a)

To determine

To express: The following ratios in simplest form, based on their given values:

Body slides: tube slides

Answer to Problem 23PPS

Ratio in simplest form is $\frac{7}{4}$ .

Explanation of Solution

Given information: A water park has 14 body slides, 8 tube slides, 2 types of swimming pool and 6 water play areas.

Concept used:

Here all attractions are $14+8+2+6=30$ and not slides are clearly $6+2=8$ , so accordingly ratios given will be set first and then each ratio will be divided by its HCF to get its simplified form.

Calculation:

Body slides: tube slides $=\frac{14}{8}=\frac{7}{4}$ (on dividing each 14 and 8 by greatest common factor 2)

Ratio Body slides: tube slides simplest form is $\frac{7}{4}$ .

b)

To determine

To express: The following ratio in simplest form, based on their given values:

Play area: Tube slides

Answer to Problem 23PPS

Ratio in simplest form is $\frac{3}{4}$ .

Explanation of Solution

Given information: 

A water park has 14 body slides, 8 tube slides, 2 types of swimming pool and 6 water play areas.

Concept used:

Here all attractions are $14+8+2+6=30$ and not slides are clearly $6+2=8$ , so accordingly ratios given will be set first and then each ratio will be divided by its HCF to get its simplified form.

Calculation:

  $\text{Play area : Tube slides}=\frac{6}{8}=\frac{3}{4}$ (On dividing each 6 and 8 by greatest common factor 2)

Ratio Play area: Tube slides in simplest form is $\frac{3}{4}$.

c)

To determine

To express: The following ratios in simplest form, based on their given values:

Slides: All attractions

Answer to Problem 23PPS

Ratio in simplest form is $\frac{2}{3}$ .

Explanation of Solution

Given information: 

A water park has 14 body slides, 8 tube slides, 2 types of swimming pool and 6 water play areas.

Concept used:

All attractions are $14+8+2+6=30$ and not slides are clearly $6+2=8$ , so accordingly ratios given will be set first and then each ratio will be divided by its HCF to get its simplified form.

Calculation:

Slides: All attractions

  $=\frac{14+8}{14+8+2+6}=\frac{22}{30}=\frac{11}{15}$ (On dividing each 22 and 30 by greatest common factor 2)

Ratio Slides: All attractions in simplest form is written as $\frac{11}{15}$ .

d)

To determine

To express: The following ratio in simplest form, based on their given values:

Slides: not slides

Answer to Problem 23PPS

Ratio in simplest form is $\frac{11}{4}$ .

Explanation of Solution

Given information: 

Water Park has 14 body slides, 8 tube slides, 2 types of swimming pool and 6 water play areas.

Concept used:

All attractions are $14+8+2+6=30$ and not slides are clearly $6+2=8$ , so accordingly ratios given will be set first and then each ratio will be divided by its HCF to get its simplified form.

Calculation:

Slides: not slides $=\frac{14+8}{8}=\frac{22}{8}=\frac{11}{4}$(on dividing each 22 and 8 by greatest common factor 2)

Ratio Slides: not slides in simplest form is written as $\frac{11}{4}$ .