Question

The price of an entrance ticket to the pool for a child is 60 shekels and for an adult 50 shekels. group In which the number of adults is 5 times smaller than the number of children, she paid NIS 1050. How many adults and how many children in the group?

147

likes
733 views

Answer to a math question The price of an entrance ticket to the pool for a child is 60 shekels and for an adult 50 shekels. group In which the number of adults is 5 times smaller than the number of children, she paid NIS 1050. How many adults and how many children in the group?

Expert avatar
Maude
4.7
108 Answers
x = \text{number of children}

y = \text{number of adults}

60x + 50y = 1050

Since the number of adults is five times less than the number of children:

y = \frac{x}{5}

Substitute \( y \) in the original equation:

60x + 50\left(\frac{x}{5}\right) = 1050

60x + 10x = 1050

70x = 1050

x = 15

Now find \( y \):

y = \frac{15}{5}

y = 3

Final counts:

n_a = 3 \text{ (adults)}

n_y = 15 \text{ (children)}

Frequently asked questions (FAQs)
What is the vertex of the quadratic function represented by the equation y = -2x^2 + 4x + 3?
+
Math Question: Find the limit of (3x^2 - 5)/(x^2 - 2x - 15) as x approaches 4.
+
What are the characteristics of the cosine function f(x) = cos x?
+
New questions in Mathematics
Solution to the equation y'' - y' - 6y = 0
Solve: −3(−2x+23)+12=6(−4x+9)+9.
If O(3,-2) is reflected across x = 2. What are the coordinates of O
The length and breadth of my rectangular vegetable garden is 12,5m and 7,25m respectively. What is the perimeter of the garden?
Elliot opened a savings account and deposited $5000.00 as principal. The account earns 4% interest, compounded annually. How much interest will he earn after 5 years? Round your answer to the nearest cent.
In a store there are packets of chocolate, strawberry, tutti-frutti, lemon, grape and banana sweets. If a person needs to choose 4 flavors of candy from those available, how many ways can they make that choice?
Two events E and F are​ ________ if the occurrence of event E in a probability experiment does not affect the probability of event F.
Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places
Divide 22 by 5 solve it by array and an area model
calculate the normal vector of line y = -0.75x + 3
If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.
Let A, B, C and D be sets such that | A| = |C| and |B| = |D|. Prove that |A × B| = |C × D|
The simple average of 15 , 30 , 40 , and 45 is
-1%2F2x-4%3D18
In a physics degree course, there is an average dropout of 17 students in the first semester. What is the probability that the number of dropouts in the first semester in a randomly selected year has between 13 and 16 students?
17. A loan for $104259 is taken out for 10 years with an annual interest rate of 9.4%, compounded quarterly. What quarterly payment is required to pay the loan off in 10 years? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
A multiple choice exam is made up of 10 questions; Each question has 5 options and only one of them is correct. If a person answers at random, what is the probability of answering only 3 good questions?
Translate to an equation and solve. Let x be the unknown number: What number is 52% of 81.
A buyer purchased a North Carolina home for $475,250. The seller allowed the buyer to assume his first small mortgage with a loan balance of $110,000. How much is the excise tax paid in the transaction? $951 $729.50 $950.50 $221 none of the above
A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 55.0 min at 100.0 km/h, 14.0 min at 65.0 km/h, and 45.0 min at 60.0 km/h and spends 20.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.