System of equations - math word problems - page 34 of 107
Number of problems found: 2125
- Clothes
CZK 2,400 cost clothes: a sweater 150% more than a T-shirt, trousers 2x more than a sweater, and a jacket as a sweater and trousers. What did the individual clothes cost?
- Banknotes 34711
55 banknotes worth 133000 CZK, how many 1000 CZK banknotes, how many 2000 CZK banknotes, how many 5000 CZK banknotes if we know that the number of 2000 CZK banknotes is four fewer than the number of 1000 CZK banknotes
- Three groups
The company's employees are divided into three groups. The average salary of the first group, which includes 12% of the company's total number of employees, is CZK 40,000; in the second group, CZK 35,000; and in the third group, CZK 25,000. The average sa
- 14 years
Karl is 14 years old, and Mom is 44. In how many years will MomMom be four times older?
- Assignment 34461
The travel agency has reserved 14 triple or quadruple rooms in the hotel for two weeks in July. How many families of three and how many families of four can sign up for the tour if the maximum number of occupied seats in the bus is 50? Assignment and solu
- Bananas and mango
5 kg of bananas and three kilograms of mango cost 146 CZK, and two kilograms of bananas and 5 kilograms of mango cost 142 CZK. How much is a kilogram of bananas, and how many mangoes?
- Aircraft models
How many car models did the collector own after the collector's market? The collector of car and aircraft models owned three times more car models than aircraft. He sold seven car models and nine aircraft models on the stock exchange and bought 12 car mod
- MF graduate
78 school students graduate in mathematics or physics. Three times more students graduate from mathematics and do not graduate from physics than those who graduate from physics and do not graduate from mathematics. 69 students graduate in mathematics. How
- Procedure 34191
Petr got a fifth more than Pavel, Jirka got 100 CZK more than Petr, and Honza got half of what Petr did, so they shared the reward of CZK 2,500. Solution and procedure.
- Calculate 33911
Calculate the volume of 50% KI solution and the volume of 20% KI solution needed to prepare 180g of 30% KI solution. The solution densities are known: ρ50% = 1.54575 g / cm3, ρ20% = 1.16597 g / cm³.
- Grandchildren 33491
Grandma is 72 years old. It's four times the sum of the ages of her two grandchildren. The age of the older of them is twice of a younger grandson. How old is your younger grandson?
- Direction vector
The line p is given by the point P [- 0,5; 1] and the direction vector s = (1,5; - 3) determines: A) value of parameter t for points X [- 1,5; 3], Y [1; - 2] lines p B) whether the points R [0,5; - 1], S [1,5; 3] lie on the line p C) parametric equations
- Fresh juice
The seller offers fresh-squeezed juice, which the customer either pours into his own containers or sells in liter plastic bottles, which the customer buys from him. A liter of juice costs 40 CZK more than a bottle. There is no charge for turning the juice
- Primary 32683
A total of 1415 pupils attend the three primary schools. They go to the second school twice as much as to the first, and to the third, they go 100 less than to the second. How many pupils attend the third school?
- Railway embankment
The railway embankment section is an isosceles trapezoid, and the bases' sizes are in the ratio of 5:3. The arms have a length of 5 m, and the embankment height is 4.8 m. Calculate the size of the embankment section area.
- Savings 32203
Helena had 20% more savings than Jane. They have saved 1804 CZK. How much have Helena and Jane held?
- The difference of AP
Find the difference d in an AP (arithmetic progression) whose 5th term is 18 and 39th term is 120.
- Between two
There are regular flights between the two airports 690 km apart. A plane leaves the first airport at 6:30 with an average speed of 60 km/h greater than the second plane, which leaves the second airport at 7:00. The planes always pass each other at 9:00. W
- Daughter 31783
When the father was 31, the daughter was eight years old. Now, a father is twice as old as a daughter. How old is her daughter?
- Previous 31631
Karel saved CZK 4,300 a year. In the last five months of the year, he saved 100 crowns less than in the previous seven months. How much did he save first, and how much then?
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