MathMaster logo

MathMaster

  1. Home
  2. general
  3. 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
Maude
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)
Math question: Solve for x: logₐ(x+2) + logₐ(x-1) = 3
+
What is the volume of a cone with radius r = 5 cm and height h = 8 cm?
+
What is the value of 3 raised to the power of 4, squared, minus the square root of 81?
+
New questions in Mathematics
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)
Find two natural numbers whose sum is 230 and their difference is 10. Set up the system and solve it.
two pails of different sizes contain 34.5 litres of water altogether When 0.68 litre of water is poured from the bigger pail into the smaller pail the amount of water in the bigger pail is 9 times that in the smaller pail. How much water was in the smaller pail at first?
58+861-87
A juice shop prepares assorted juices, for their juices they have 5 different types of fruit. How many types of assortments can be prepared in total, if it is considered an assortment to a juice made with two or more fruits?
7273736363-8
-27=-7u 5(u-3)
calculate the normal vector of line y = -0.75x + 3
Find the sum of the first 41 terms of the progression that begins: 32, 24, 16, …
By direct proof, how can you prove that “The sum of any three consecutive even integers is always a multiple of 6”.
7=-4/3y -1
Use the power rule for logarithms to solve the following word problem exactly. If you invest $1, 000 at 5% interest compounded annually, how many years will it take before you have $2,000?
In a laboratory test, it was found that a certain culture of bacteria develops in a favorable environment, doubling its population every 2 hours. The test started with a population of 100 bacteria. After six hours, it is estimated that the number of bacteria will be:
The grading on a $159,775 house comes to $3974.75. What percent of the total cost is this? (Express your answer to the nearest hundredth percent.)
16.What payment (deposit) made at the end of each month will accumulate to $10473 in 13 years at 7.9% compounded monthly? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
the product of a 2-digit number and a 3-digit number is about 50000, what are these numbers
A small box measures 10 in. by 4 in. by 6 in. high. Find the volume of the box.
The company produces a product with a variable cost of $90 per unit. With fixed costs of $150,000 and a selling price of $1,200 per item, how many units must be sold to achieve a profit of $400,000?
13/25+7/16
Paul invites 12 friends to his birthday. He wants to give 15 candies to everyone two. The candies are sold in packs of 25. How many should he buy? packages?

You might be interested in