$MathMaster logo$

MathMaster

Home
general
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 numbe

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?

$Expert avatar$

4.7

107 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)

Question: What is the unit vector in the direction of vector u = ⟨3, -4, 12⟩?

+

Math Question: Identify the basic shape of the graph of y = 2x^2 - 3x + 1.

+

Math question: Solve the cubic equation x^3 - 5x^2 + 2x + 4 = 0.

+

New questions in Mathematics

Two fire lookouts are 12.5 km apart on a north-south line. The northern fire lookout sights a fire 20° south of East at the same time as the southern fire lookout spots it at 60° East of North. How far is the fire from the Southern lookout? Round your answer to the nearest tenth of a kilometer

The profit G of the company CHUNCHES SA is given by G(x) = 3×(40 – ×), where × is the quantity of items sold. Find the maximum profit.

In a normally distributed data set a mean of 31 where 95% of the data fall between 27.4 and 34.6, what would be the standard deviation of that data set?

A job takes 9 workers 92 hours to finish. How many hours would it take 5 workers to complete the same job?

how many arrangement can be made of 4 letters chosen from the 8 letters of the world ABBSOLUTE

A person borrows rm 1000 from a bank at an interest rate of 10%. After some time, he pays the bank rm 1900 as full and final settlement of the loan. Estimate the duration of his loan.

prove that if n odd integer then n^2+5 is even

7. Find the equation of the line passing through the points (−4,−2) 𝑎𝑛𝑑 (3,6), give the equation in the form 𝑎𝑥+𝑏𝑦+𝑐=0, where 𝑎,𝑏,𝑐 are whole numbers and 𝑎>0.

A researcher is interested in voting preferences on change of the governing constitution in a certain country controlled by two main parties A and B. A questionnaire was developed and sent to a random sample of voters. The cross tabs are as follows Favour Neutral Oppose Membership: Party A 70 90 85 Party B 50 50 155 Test at α = 0.05 whether party membership and voting preference are associated and state the conditions required for chi-square test results to be valid.

DuocUC 2) The cost C, in pesos, for the production of x meters of a certain fabric can be calculated through the function: (x+185) C(x)=81300-6x+ 20000 a) It is known that C(90) 5.344. Interpret this result. (2 points) b) Calculate C'(x) (2 points) 3 x²+111x-0.87 20000 2000 c) Function C calculates the cost while producing a maximum of 500 meters of fabric. Determine the values of x at which the cost of production is increasing and the values of x at which the cost is decreasing. (3 points) d) If a maximum of 500 meters of fabric are produced, what is the minimum production cost? (

From 1975 through 2020 the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume the standard deviation is 1539

Determine the increase of the function y=4x−5 when the argument changes from x1=2 to x2=3

The two sides of the triangle are 12 cm and 5 cm, and the angle between the sides is 60°. Cover the area of the triangle!

X~N(2.6,1.44). find the P(X<3.1)

Find the equation of a straight line that has slope 3 and passes through the point of (1, 7) . Write the equation of the line in general forms

solve R the following equation 4 x squared - 35 - 9 over x squared is equal to 0

The inner radius of a spherical ball is 13 cm. How many liters of air are in it? Justify your answer!

g(x)=3(x+8). What is the value of g(12)

Paola went on vacation for 15 days if it rained 20% of the days. How many days did it rain?

Slope (7,3) and (9,5)