System of equations - math word problems - page 31 of 103
Number of problems found: 2055
- Coloured numbers
Mussel wrote four different natural numbers with colored markers: red, blue, green, and yellow. When the red number is divided by blue, it gets the green number is an incomplete proportion, and yellow represents the remainder after this division. When it
- Parametric equation
Point A [6; -2]. Point B = [-3; 1] Write the parametric equation of the line BA so that t belongs to the closed interval < 0;3 >
- Including 37251
The company paid a total of CZK 38,152, including penalties, for the late payment of the invoice. The penalty was 4 ‰. a) how much was the invoiced amount (without penalty)? b) how big was the penalty?
- Pilgrimage 36951
On the Matějska Pilgrimage, they had 40 prizes of two kinds in the wheel of fortune with a total value of 500 CZK. Four pieces of the first were worth CZK 60, and seven pieces of the second kind were worth CZK 80. Determine the number of pieces of each ty
- Three-quarters 36641
In the bakery, they prepared 616 loaves of two types of bread for the expedition: sunflower bread weighing three-quarters of a kilogram and caraway bread 900 g each. They prepared 7 kg of more than half a ton of bread. How many caraway and sunflower loave
- Barborka 36393
Adela and Barbora have a total of 34 candies. If Barbora gives Adela 2 candies, they will have the same. How many candies does Adela have, and how many Barbora?
- Equations: 35991
Solve the following system of equations: x + 4y = 5 2x - 3y = -6
- Consecutive members
The block has a volume of 1728 cm³. Determine the lengths of the edges a, b, and c of the blocks for which a < b < c and a + b + c = 38 cm and whose numerical values in cm represent three consecutive members of the geometric sequence.
- Triangle - sines
The sum of the lengths of the two sides b + c = 12 cm Beta angle = 68 Gamma angle = 42 draw triangle ABC
- Calculate 35223
In the ABC triangle, the alpha, beta, and gamma angles are in ratio 0.4:0.2:0.9. Calculate their size.
- Vacation 35133
The family is going on vacation. Everyone has their luggage. Together the luggage weighs 21kg. The mother's luggage weighs two times more than the father's and the son's 4 kilograms less than the mother's. How much does luggage weigh?
- Initially 35123
Five hundred ninety pieces of clothing were to be sewn in the two branches of the tailor's workshop. However, 30% more were sewn in the first workshop and 10% more in the second. They sewed a total of 703 pieces. How many products were initially supposed
- The same
The same number of rabbits and hens are running on the farm. 468 feet run around the yard. How many rabbits and hens do they have on the farm?
- 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?
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