System of equations - math word problems - page 71 of 103
Number of problems found: 2055
- Prices prices
Factory reduced the meter of the textile by CZK 42, so 4 meters of the new price was 20 CZK cheaper than 3 meters of the original price. What was the original and new price of the textile?
- Two workers
Two workers make 138 parts/items. The first one produces 30% more than the second. How many items will each produce?
- Every day 7 pages
Anelka reads the book seven pages every day. When she reads one more page a day, she will read it three days earlier. How long will Adelka read a book? How much does a book of pages have?
- Plot
The length of the rectangle is 8, smaller than three times the width. If we increase the width by 5% of the length and the length is reduced by 14% of the width, the circumference of the rectangle will be increased by 30 m. What are the dimensions of the
- Linear function
What is the equation of linear function passing through points: a) A (0,3), B (3,0) b) C (-2,-6), D (3,4)
- Intersection 4925
Determine the intersection of functions. a) y = 2x + 3, y = -x + 4 b) y = 3x + 7, y = -2x-3
- Mr and Mrs
Mr. Calda and Mrs. Cald have a total of 139 years. How many years have when we known that Mr. Calda is nine years older than Mrs. Cald?
- Dividing money
Thomas, Honza and Vasek are to divide 1220kč. Honza got 25% more than Thomas. Vasek is 20% less than Thomas. How many CZK does each get?
- Distribution 4907
A continuous random variable X is specified: distribution function, specify the parameters a; b so that the function F (x) is continuous and was the distribution function of the random variable X and express f(x). P (X
- Employees 4901
Of the total number of men, 16% received a bonus, of the total. The number of women received 21%. The company has 1,500 employees, and 18% were awarded bonuses. How many women work in the company? How many men received bonuses? How many company employees
- Sales of products
For 80 pieces of two quality products, the total sales are 175 Eur. Suppose the first quality product was sold for n EUR per piece (n natural number) and the second quality product after 2 EUR per piece. How many pieces of the first quality were sold?
- Three-digit 4882
There were 301 postage stamps in the desk drawer. They were stamps for 2, 3, and 5 crowns. The number of each species can be written as a three-digit number. The total price of all stamps is CZK 1,003. How many stamps were there?
- Individual 4881
There are 32 rooms in the hostel. Some have double beds, others have four beds and the rest have 7 beds. There are a total of 139 beds in the hostel. How many are there if a two-digit number gives the numbers of individual species?
- Five-crowns 4879
Eva had seven coins. Crowns, two-crowns, and five-crowns. At least two of each. How many did she have if she could buy three packs of gum for six crowns?
- Weighs 4877
A + B weighs 75 kg, B + C weighs 83 kg, C + D weighs 92 kg. How much does A + D weigh?
- Rectangle
The length of one side of the rectangle is three times the length of the second side. What are the dimensions of the rectangle if its circumference is 96 cm?
- Angles ratio
The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss)
- Trapezoid
How long are the trapezoid bases with an area of 24 cm² and a height of 3 cm? One base is three times longer than the shorter.
- Demonstrate 4841
The textile factory employs 600 women and men, twice as many women as men. How many women and how many men work here? Demonstrate and explain the calculation procedure.
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