Equations practice problems - page 35 of 241
Number of problems found: 4814
- Pocket money
Karol spent half of his pocket money. He gave two-thirds of the rest to his friend Michael. He had 50 CZK left from his pocket money. A. Calculate how much money Karol gave Michael. B. Calculate how much money Karol received as pocket money. - Number product factors
The product of two whole numbers, one of which is 19 greater than the other, equals the number 416. Find both factors. - Alcohol concentration mixing
In the hospital laboratory, two containers contained different concentrations of alcohol. After mixing 10 liters of alcohol from the first container with 14 liters from the second container, 75% of the alcohol was formed. If 40 liters from the first conta - Two 2
Two different harvesters harvested potatoes with an area of 6.6 ha in one shift when they were operating simultaneously. The area of land from which the less powerful harvester was able to harvest potatoes in six shifts, the more powerful harvester in - Michal computer saving
Michal is saving for a new computer. His parents gave him 130 euros, which was 26 percent of the total amount. He received 20 percent of the price of the computer from his grandmother, and his aunt added another 35 euros. How many euros does Michal still - Roofer roof days
Three roofers cover a third of the roof in 10 days. In how many days would 5 roofers cover the entire roof at the same rate? - Quadratic equation - Viets
In the equation 3x²+bx+c=0, one root is x1 = -3/2. Determine the number c so that the number 4 is the root of the equation. Hint - use Viet's formulas. - Karel digit error
Karel had to multiply two two-digit numbers. Out of care, he changed the order of the digits in one of the factors and got a product that was 4,248 less than the correct result. What is the correct result? How much should Karl have earned? - Arithmetic sequence
Determine the sum of the first 12 terms of an AP (arithmetic sequence) if a4 is equal to 7 and a8 is equal to minus 1. - Boy height together
The boys are 235 cm tall together. Pepa is 25 cm shorter than Petko. How tall are the boys? - Number ratio subtraction I think two numbers. Their ratio is 5:7. If 3 is subtracted from the first and 7 from the second, then the ratio is 6:7. What number was I thinking?
- Gardening
In the gardening community, Mr. Strawberry had 16 liters of water in his barrel. Neighbor Malina had three times more water in his barrel than Mr. Strawberry. It started to rain and the same amount of water rained into both barrels. After the rain, Mr. Ma - Bear sleep hours
Misha the bear slept 60 hours in one week. More than he was awake. How many hours per week did Mišo sleep? - Pear basket third
There were pears in the basket. I took a third of them, which was 6 pears. How many pears were in the basket before taking it? - Peter example solving
Peter solves 40 examples. For a correctly solved example, he receives CZK 5 from his mother. For example, in a poorly solved case, he will pay 20 CZK to his mother. After solving all the examples, he had CZK 25 more than when he started counting. How many - Banknote payment count
CZK 8,000 was paid out in fifty pieces of banknotes in denominations of CZK 100 and CZK 200. How many were there? - Parabola focus equation
Determine the equation of the parabola that has the point F = [3,2] as its focus and the line x+y+1=0 as its shift line. - Triangle interior angles
Calculate the interior angles of the triangle. The angle alpha is 16° greater than beta, and the angle gamma is 17° less than alpha. - Rectangle perimeter ratio
The sides of the rectangle are in the ratio of 5 : 8. Its perimeter measures 208 cm. Determine the area of this rectangle. - Bicycle price half
The bicycles were sold for ½ the original price, that is for 5,600 CZK. How much did it cost originally?
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