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miv72 [106K]
3 years ago
9

Eighty percent of the tourists in a group took a bus and the rest took a taxi. The bus fare per person is 40% less than the taxi

fare per person. All together they paid $68 for the tour transportation, and the bus fare per person is $3. How many tourists are in the group?
Mathematics
1 answer:
Paha777 [63]3 years ago
7 0

Answer:

Bus = 16 Tourists and Taxi = 4 Tourists

Total = 20 Tourists

Step-by-step explanation:

According to the Question,

  • Given, 80% of the tourists in a group took a bus and 20% took a taxi. Thus the Ratio of Tourists Travel by Bus toTaxi is 4x:1x.
  • The bus fare per person is 40% less than the taxi fare per person. And Also Given that the bus fare per person is $3 Thus, The Taxi fare per person would be $5.

All together they paid $68 for the tour transportation.

  • 4x × 3 + x × 5 = 68
  • 12x × 5x = 68
  • 17x =68
  • x=4

And, the Ratio of Tourists Travels by Bus toTaxi is 4x:1x . So,the Tourists Travel by Bus to Taxi is 16 and 4 Respectively . Total = 20 Tourists are in the Group.

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The values of a and b are a = 33% and b = 43% ⇒ last answer

Step-by-step explanation:

The venn-diagram contains:

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  • A circle labeled gold 25
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The table:

→ Band  :  blue  :  N.b  : total

→ gold   :  16%   :  a      :  49%

→ N.g     :  b       :  8%   :  51%

→ Total  :  59%  :  41%  :  100%

We need to find the values of a and b

From the table

16% represents the percentage of blue and gold uniforms (2nd row with 2nd column)

From venn-diagram

The common part of blue and gold label with 12 (overlap of two circles)

∴ 16% of the total number of students = 12

∵ 16% × x = 12

∴ \frac{16}{100} × x = 12

∴ 0.16 x = 12

- Divide both sides by 0.16

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∵ x represents the total number of students

∴ The total number of students were asked is 75

From the table

b represents the percentage of blue but not gold uniforms (3rd row and 2nd column)

From venn-diagram

The part that has blue and not gold labeled with 32 (the part of the blue circle not in the gold circle)

∴ 32 of the total number of students like the blue but not gold

- Divide 32 by the total 75 , then multiply the quotient by 100%

   to find the percentage of blue but not gold

∴ b = \frac{32}{75} × 100% = 42.6666%

∴ b ≅ 43%

From the table

a represents the percentage of gold nut not blue uniforms (2nd row and 3rd column)

From venn-diagram

The part that has gold and not blue labeled with 25 (the part of the gold circle not in the blue circle)

∴ 25 of the total number of students like the gold but not blue

- Divide 25 by the total 75 , then multiply the quotient by 100%

   to find the percentage of gold but not blue

∴ a = \frac{25}{75} × 100% = 33.3333%

∴ a ≅ 33%

The values of a and b are a = 33% and b = 43%

To check your answer complete the table you will find the total of it is 100% ( for the columns 16% + 43% = 59% , 33% + 8% = 41% , then 59% + 41% = 100%, for the rows 16% + 33% = 49% , 43% + 8% = 51% , then 49% + 51% = 100%)

Learn more:

You can learn more about the probability in brainly.com/question/3756853

#LearnwithBrainly

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