Equations practice problems - page 168 of 239
Number of problems found: 4770
- Employees and bonuses
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
- Increased 4898
The price of flour increased three times in a row by 10% each time. The shop then reduced it by 30%. Now the price of flour is 5.60 CZK. What was the original price?
- 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?
- Championships 4886
The pool had to be filled before the World Championships. The first pump would fill in 12 hours, the second in 15 hours, and if all three pumps were started simultaneously, they would fill the pool in 4 hours. How long would the pool be filled with only t
- Two-digit 4883
Dad had 33 bills. One hundred crowns, two hundred and five hundred. A two-digit number gave the number of each species. How many did he have if he had a total of 9100 CZK?
- 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?
- 5x-22 4868
a) 5 + 4x = 5x-22 b) 8y-49 = y-4
- Equation
Solve equation with unknown x: 3 (1/3 + 2x) -2 (1/3-3x) -13/2 = 0
- 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)
- Complete 4849
The first sluice empties a complete pond in 45 days. If 2/3 of the pond is drained in 15 days, a second sluice is still needed for ten days. How many days would it empty itself through just the second sluice?
- Salt
Seawater containing 5% salt. How many kilograms of fresh water is necessary to pour into 40 kg of seawater so that the salinity falls to 2%?
- Unknown number 23
Find 2/3 of the unknown number, which is two-thirds of the 99.
- Express
Express the equation of the function: a/prices of cucumbers for the number of cucumbers sold, if one cucumber costs CZK 5 b/the area of the rectangle on side b, if side a measures 5 cm c/the perimeter of the rectangle on side b, if side a measures 5 cm d/
- Domains: 4845
Specify function domains: a / y = 2x-1 b / y = 5x / (2x + 1) c / y = x² / (x²-9)
- 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.
- Calculate 4842
The area of the rotating cylinder shell is half the area of its surface. Calculate the surface of the cylinder if you know that the diagonal of the axial section is 5 cm.
- Numerically 4839
Calculate the diagonal of such a square, which holds that its area is equal to its perimeter (without considering units numerically ...).
- Traveling 4836
A passenger car traveling at a speed of 60 km/h arrived from place A to place B one and a half hours earlier than a truck traveling at 40 km/h. How far apart are placed A and B, and how long did the car travel?
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