System of equations - math word problems - page 34 of 110
Number of problems found: 2182
- Tourists
Tourists hire a guide. Everyone will pay the same amount. If there are two fewer of them, they will pay 14 crowns more, and if there are three more, they will pay 14 crowns less. How many tourists are there and how much have the guides paid? - Two houses
Twice as many people live in the first house as in the second house. Altogether, there are 81 of them living in both. How many people live in each house? - The theater
The Manila theater charged ticket prices: adults php 500, students php 250, and children below 12 are php 100. The theater collected a total of Php 100,000.00 from an audience of 250 people. What is a possible audience composition regarding the numbers of - Prievidza–Brezno
Cyclist Juraj set out from Prievidza toward Brezno in the morning at 6:30 and traveled at an average speed of 18 km/h. He took a half-hour break along the way. At the same time, cyclist Peter set out from Brezno toward Prievidza along the same road at an - Sequences AP + GP
The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, the second 4, and keep the third, we get the geometric series. Find AP and GP members. - Duo mix
One kilogram of meat of two colors is 650 g of pork, and the rest is chicken. One kilogram of pork is 40 CZK, which is more expensive than a kilogram of chicken. How many CZK (Czech crowns) cost one kilogram of chicken meat so that the price of one kilogr - Savings spending
Helen and Barbara had 1,500 CZK saved together at the end of January. After Helen spent CZK 318 from her savings and Barbara spent CZK 249 from her savings in February, Helen had twice as much CZK saved as Barbara. How much money did they have at the begi - The family
How old is a mother if she is four times older than her daughter, and five years ago she was seven times older than her daughter? Today, a son is 30 years younger than his father. Seven years ago, the father was seven times older than the son. How old is - Alcohol solutions
We have to produce 2 liters of 60% alcohol from 55% and 80%. How many of these will we use in the solution? - The cylinder
In a rotating cylinder, it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder. - Rotary cylinder
In a rotating cylinder, the surface area S= 96 cm² (without the base) and the volume V= 192 cm cubic are given. Calculate its radius and height. - Class group distribution
In one HA class, there were 8 more pupils in the first group than in the second group. After the admission of two new pupils to each of the groups, there were twice as many pupils in the 1st group as in the 2nd group. How many pupils were there in each gr - Two grandmothers Two grandmothers went to the market to sell eggs, and they had 100. When they sold all the eggs, they made the same money. The first grandmother said to the second, "If I sold my eggs for your price, I would earn 15 crowns. " The other grandmother replied
- Flower petal
We have 30 flowers, and each one has three or four petals. They have a total of 102 chips. How many flowers have four petals? Z represents the number of flowers with 4 petals. Choose the expression that determines the number of flowers with 3 petals. - Salt solution preparation Prepare 2 liters (kg) of a 3% salt solution in water.
- Participants Of the 48 participants, six were women, fewer than men, and 24 were children, less than all adults. Calculate the percentage of all participants on the tour who are children.
- Hydrogen peroxide solution
Prepare 250 g of a 30% solution of hydrogen peroxide in water. - Salicylic acid solution
Prepare 600 g of an 8% solution of salicylic acid. - Arm and base
The isosceles triangle has a circumference of 46 cm. If the arm is 5 cm longer than the base, calculate its area. - Motorbike circuit
On a 2,550 m long circuit, two motorcycles go at such speeds that they meet every minute if they go against each other and run every 5 minutes if they go in the same direction. Find their speeds.
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