Equations practice problems - page 37 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: 4233
- Cats and birds
There are 15 cats and birds in the park. There are 42 legs altogether. How many cats are there? - Magazine's 72894
Shop reduced the magazine price by as many percent as the euro cost the magazine before the price reduction. Find the original price if it costs 16 euros after the discount. - Unknown 72884
The square root of an unknown number equals the square of 2. What is the unknown number? - The probability
The probability that a life bulb will have a lifetime of more than 682 hours is 0.9788. The probability that a bulb will have a lifetime of more than 703 hours is 0.0051. Find the probability that a bulb will last for more than 648 hours.
- Martin 6
Martin, Kelvin, and Ahmad have 120 candies. Ahmad has six more candies than Martin. Kelvin has thrice the total amount of candies than Martin and Ahmad have. How many candies does Martin have? - Estimate the mode
A medium-sized asset management firm has 56 fund managers. Each of these managers has its own portfolio. The percentage returns from the managers' portfolios are shown in the table below: Return percentage; Number of managers 0-10; 8 10-20; 18 20-30; 21 - A coffee
A coffee shop owner blends a gourmet brand of coffee with a cheaper brand. Gourmet coffee usually sells for R420,00 per kilogram, while the cheaper brand sells for R180,00 per kilogram. How much of each type should be mixed to have 30 kilograms of coffee - Coffee 6
Coffee worth $1.05 per pound is mixed with coffee worth 85 cents per pound to obtain 20 pounds of a mixture worth 90 cents per pound. How many pounds of each type is used? - 5 times
Find an unknown number; if five times as large as 110 is 1/2 of what number?
- Calculate 72594
Karel, Peter, and Milan helped pick apples. It took Karl 30 minutes, Peter 45 minutes, and Milan 36 minutes to turn over one full box of apples. Calculate how long it would take them to acquire 3 full crates together. Mark one answer: a. 32 minutes b. 36 - Equation: 72584
Find the solution of the equation: 2x: 8 = 3 ÷ 4, where x is an integer. - A man 5
A man secured a loan from a bank and used 1/4 of it for a building project and 1/3 of it for a farm, and 15000 was left. How much did the man secure from the bank? - Adjusting 72554
Two working groups are adjusting the park. The first group would do the work in 15 days, and the second in 25 days. How many days will they do the work together? - Arithmetic 72544
The arithmetic mean of two numbers is 12. The first number is 5. What is the value of the second number?
- Hypotenuse 72524
We know the height of the hypotenuse h = 4cm and the hypotenuse c = 19cm in a right triangle. How to calculate the segments of legs - sections on the hypotenuse c1, c2 - One side 2
One side of the rectangle is three times larger, and the other is 4 cm smaller than the side of the square. Find the area of the square if more than the area of the rectangle by 10 cm². - Length and width
Use the 5-step procedure. The perimeter of a rectangle is 34 in. The length is 4 in less than three times the width. Find the length and width. - Swimming pool 6
We open the first pipe, and then after two hours, we open the second pipe without closing the first. The swimming pool will be filled with both pipes in 4 hours. If we open the first pipe itself, it will fill the pool 1.5 times faster than the second pipe - Chocolates 72154
Adam and Andrej bought sweets. Adam paid € 2.9 for three chocolates and 2 bars, and Andrej paid € 4 for four chocolates and 3 bars. How much did the chocolate cost, and how much did the bar cost?
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