Equation + reason - practice problems - page 3 of 36
Number of problems found: 710
- Equations: 80499
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Arranged 80453
There are 390 trees arranged in rows in the orchard. How many rows are there if each row has the same number of trees greater than 30 and less than 40? - Smallest 80368
What is the smallest whole number to replace the known x for: 9> x/3> 4. - Parabolic 79764
In a tennis match, Adrien is 5 m from the net when he hits a ball 80 cm off the ground. The maximum height of its parabolic path passing through the net was 1.5 m. If the length of the court is 23.77 m, will the ball land inside the court? - Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number. - Completely 79274
Kitchen cabinets are sold in widths of 80 cm, 60 cm, and 40 cm. Which assembly can we choose if we have a wall 3.5 m long and we want to completely fill it with an assembly that also includes a dishwasher, the width of which is 60 cm, and the stove is 50 - Pasture 79214
I need to find out the number of bulls in the third period. In the first period, 12 bulls grazed on 3 and 1/3 ha for 4 weeks. In the second period, 21 bulls graze on 10 ha for 9 weeks. How many bulls in the third period graze for 24ha and 18 weeks? The pa - AMJ
There are three siblings, Anne, Maya, and Jane. Anne gave Maya and Jane as much money as each had. Then Maya gave Anne and Jane as much money as each had. Then Jane gave Anne and Maya as much money as each had. Then each of the three had 128 pesos. How mu - Gardener 75344
A gardener lays tiles around a square flower bed. It needs 12 tiles around the 2x2 bed. How many tiles will he need around the size of the bed? a) 9x9 b) nxn? How big was the bed for which the gardener consumed c) 112 d) 4n tiles? - Three flocks
Flocks of birds pass by, and one bird on a tree asks them, how many of you? And they respond, we are so plenty. The second flock of birds again passes by and asks the bird on a tree, how many of you? The response is we are one-half (1/2) of the first floc - Originally 71464
The father originally wanted to divide the financial amount between his sons in the ratio of 7:6. However, he then split it at 6:5 (in the same order). One of the sons got angry that he should have received 120 euros more. How many euros did each son rece - Including 71274
We used 1533 digits to number the rough book. How many pages does this book have if each page, including page 1, is numbered? - Polya's method
On the way home from school, Dora likes to eat cookies. One daytime, just as she reached into her backpack, Swiper jumped into her path and grabbed her bag. It stole half of her cookies plus two more. A bit shaken, Dora continued home. Before she had a ca - Variations 70724
If we increase the number of elements by 2, the number of variations of the second class without repetition increases by 22. How many elements do we have initially? - Combinations 70714
If we increase the number of elements by 1, the number of combinations of the third class without repetitions increases by 10. How many elements do we have? - Rectangles 70304
How many rectangles with side lengths expressed in natural numbers have an area of 96 cm²? - Together 70014
Matej and Anton are 44 years old together. Matej is twice as old as Anton was when Matej was half as old as Anton will be when Anton is 3 times older than Matej was when Matej was 3 times as old as Anton. - Number 69614
The house has two floors. Men and women live on each floor in such a number that their ratio is 3:2 on each floor. Five more people live on the second floor than on the first floor. How many women live on the second floor? - VAT example
The following data were provided by Halo Mango Delight, a VAT taxpayer, for October, November, and December 2021 (VAT excluded): Compute the Value added tax of the store for the 4th Quarter of 2021. (Show computation in solving the problem). VAT ratio = 1 - Shoulders 69284
Two children with different weights sit on the swing, a lever with your shoulders. On the left side sits a child with a capacity of 30 kg, and on the right, a child with a capacity of 20 kg. One swing arm is 150 cm long. How would you seat the children so
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