$MathMaster logo$

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

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)

Question: Convert 2.45 x 10^4 to standard notation.

+

What is the product of 3 and the mixed number 2 1/4, when expressed as a mixed number?

+

What are the roots, vertex, and end behavior of the cubic function f(x) = x^3?

+

New questions in Mathematics

a to the power of 2 minus 16 over a plus 4, what is the result?

Find an arc length parameterization of the curve that has the same orientation as the given curve and for which the reference point corresponds to t=0. Use an arc length s as a parameter. r(t) = 3(e^t) cos (t)i + 3(e^t)sin(t)j; 0<=t<=(3.14/2)

Let X be a discrete random variable with range {1, 3, 5} and whose probability function is f(x) = P(X = x). If it is known that P(X = 1) = 0.1 and P(X = 3) = 0.3. What is the value of P(X = 5)?

the value of sin 178°58'

By differentiating the function f(x)=(x³−6x)⁷ we will obtain

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?

4. Show that if n is any integer, then n^2 3n 5 is an odd integer

If 0101, what is the binary representation of the 4x16 decoder output?

I need to know what 20% or £3292.75

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 warehouse employs 23 workers on first shift, 19 workers on second shift, and 12 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly five first -shift workers.

John he’s going to the carnival with his friends. He spends $25 on an admission ticket. He buys 10 games at X dollars each and two boxes of popcorn at Y dollars each. Write an expression to show the total cost of admission game, tickets and popcorn.

ind the z-score for which 72% of the distribution's area lies between -z and z. -1.7417, 1.7417 -1.1538, 1.1538 -1.0803, 1.0803 -2.826, 2.826

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?

Associate each 2nd degree equation with its respective roots. A) x2+6x+8=0 B)x2-5x-6=0

0<x<2π aralığındaki f(x)=x÷2 fonksiyonunun 0 < x < 4π için grafiğini çiziniz ve 0<x<2n için Fourier seri dönüşümünü gerçekleştiriniz.

A confidence interval for a population mean has a margin of error of 3.5. a. Determine the length of the confidence interval. b. If the sample mean is 47.8 , obtain the confidence interval. a. The length of the confidence interval is?

Sarah is lining a square tray with 1 inch square tiles. the side length of the tray is 9 inches. How many tiles does Sarah need?