Equations practice problems - page 42 of 212
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4227
- Represent 68124
Girls are 12 more than boys, and boys represent 30% of all students. Find how many girls are in the class. - Agreement 68094
Janka and Katka live in villages 16 km away. They agreed to meet precisely halfway. Jana was driving at a speed of 4 km/h. Katka came out 30 minutes later. At what speed must Katka drive to fulfill the agreement? - Principal 67954
How long in months will the principal raise 5,000 euros at 5% p.. a. interest 350 euros? - Collection 67874
In his stamp collection, Radek had half of the Czech stamps, a third of Slovak stamps, and just 128 overseas stamps. Radek did not collect any other stamps. Calculate how many stamps Radek had in the collection.
- Calculate 67864
The price of one piece of goods is 450 CZK, and the price of transport is 90 CZK. They paid Svoboda a total of CZK 10,440 for the shipment. Calculate how many pieces of goods they ordered Svoboda. - (respectively) 67854
An alloy of copper and lead is a mixture of these metals in a ratio of 5: 2 (respectively). Calculate in kg how much a piece of this alloy weighs if it contains just 150 kg less lead than copper. - Relative 67684
The boat moves along the river at a speed of v1 = 5km. h-1 and upstream v2 = 2km. h-1. What is the current P's and boat L's speed relative to the water? - Midnight 67644
The bacteria in the test tube divide into two every second, with each new one having the same volume as the original. At exactly midnight, the test tube was full. At what time was the test tube half full? - Temporary 67594
Two temporary workers comb apples from 15 apple trees in 5 hours and 20 minutes. After two hours, three other temporary workers came to help them. How long did it take to comb apples from these 15 trees?
- Peter 67584
Peter was twice as old as Pavel. 4 years ago, Petr was three times older than Pavel. How old are they now? - The number 5
The number of hours per week the television is turned on is determined for each family in a sample. The mean of the data is 35 hours, and the median is 31.2 hours. Twenty-four families in the sample turned on the television for 20 hours or less for the we - Discount 67354
Skates have fallen by 36% after the winter season on sale. Their price after the discount was 48 euros. What was the original price? - Temperature linear fit
At 2:00 a.m., the temperature was -7°F. At noon the temperature was 18°F. What expression represents the increase in temperature? - Two-thirds 67134
Find a number whose two-thirds are two less than its three-quarters.
- Proportion 67054
Calculate the divisor; if the divisor is 895, the proportion is 40, and the remainder is 15. - Extraordinary 67044
The employee received an extraordinary reward of 320 euros, 8% of his monthly salary in September. What is his monthly salary? - Non-Bratislava 67034
50% of 9th graders of our Bratislava school are non-Bratislava pupils. One-third of them commute by bus, a fifth by bike, and seven pupils walk. How many students are in the 9th grade? - (cashews/beetroots) 66984
The lady sells nuts. It has two mixtures of nuts (cashews/beetroots) in a ratio of 2:1 and 1:3 (cashews and peanuts). Determine the ratio to mix both mixtures so that the ratio of cashews/beetroot in the resulting mixture is 1:2. (Please provide a certifi - Circumference 66964
We have to construct a rectangle with a circumference of 30 decimetres. The rectangle has sides of whole decimetres. How many different rectangles can we make?
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