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miv72 [106K]
2 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]2 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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Jun used x milliliters, or 90% percent, of his favorite bottle of hot sauce.
Verizon [17]

Answer:

The volume of the full bottle of Jun's favorite hot sauce in ml is \frac{10x}{9}.

Step-by-step explanation:

Jun used x milliliters, or 90% percent, of his favorite bottle of hot sauce.

So, to find the volume of a full bottle of Jun's favorite hot sauce in milliliters, we can use the unitary method.

Then, 90% of the full bottle sauce is equal to x ml.

So, 1% of the full bottle sauce is equal to \frac{x}{90} ml.

Therefore, 100% of the full bottle sauce is equal to \frac{x}{90}\times 100 = \frac{10x}{9} ml.  

Therefore, the volume of the full bottle of Jun's favorite hot sauce in ml is \frac{10x}{9}. (Answer)

4 0
2 years ago
What is x and y equal in: -2X-y=3 and x+2y=4 (find x and y using elimination)
makvit [3.9K]
-2x-y=3    ...(1)
x+2y=4    ...(2)
multiply (2) by 2 and add to (1)
-2x-y+2x+4y=3+8
3y=11
y=11/3
from (2)
x=4-2y=4-2(11/3)
or x=4-(22/3)
=(12-22)/3=-10/3
3 0
2 years ago
Luisa and Connor had $360 altogether . After Connor gave Luisa 2/5 of his money, she had the same amount of money has he did. Ho
Liula [17]

Answer:

$300

Step-by-step explanation:

Let's say that L is the amount of money Luisa had in the beginning, and C is the amount of money Connor had in the beginning.

C + L = 360

C - 2/5 C = L + 2/5 C

Simplifying the second equation:

3/5 C = L + 2/5 C

1/5 C = L

Substituting into the first equation:

C + 1/5 C = 360

6/5 C = 360

C = 300

Connor originally had $300, and Luisa $60.  Connor gave Luisa $120, and they both had $180.

8 0
3 years ago
A gust of wind forces a rock to fall off a cliff that's 20 feet high. This is represented by the function h(t) = –16t2 + 20, whe
Helga [31]

Answer: C.) 1.12 seconds

Step-by-step explanation:

Hi, to answer this question we have to substitute h=0 (when the rock hits the ground the height above it is 0) in the equation given:

h (t) = –16t2 + 20

Solving for t (time)

0= –16t2 + 20

16t2=20

t2=20/16

t=√1.25 =1.12 seconds (option C)

Feel free to ask for more if needed or if you did not understand something.

8 0
2 years ago
If 2x -3(x +4)=-17, then x=
Gnom [1K]
2x -3x - 12 = -17
-x -12 = -17
-x = -5
x = 5

Hope this helps!
7 0
3 years ago
Read 2 more answers
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