Equations practice problems - page 195 of 239
Number of problems found: 4769
- One-seventh 3214
Determine one-third of the number, one-fifth of which is one-seventh.
- Produced 3213
Workers produced 12,500 pieces of parts in three days. On the second day, they produced 200 pieces less than on the third day, and on the first day, 350 pieces more than on the 2nd day. How many do they make each day?
- Employees 3212
Employees exceeded the quarterly plan by 13.2%. In the first month, they exceeded the goal by 320 t, in the second by 310 t, and in the third by 300 t. Calculate the quarterly plan.
- Water solution
How many grams of salt should we dissolve in 400 g of water to get a 20% solution?
- Jasmine 3210
Half a bee swarm settled on a lilac, a third on roses, a seventh on jasmine, and one bee on clover. How many bees were in the hive?
- Flour hopper
The baker filled the bakery flour hopper to 3/4 volume. After removing 875 kg of flour, he filled it with only 2/5 of the volume. How many tons of flour is in the full hopper?
- Trees
A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall.
- Speedboat and train
At 12:15, a train speeding 55km/h left the station. Twelve minutes later, an 80km/h speedboat set off behind the train. What time does the express train catch up? How far from the station?
- Numbered
The pages of the book are rectangular with sides 15 cm and 12 cm long. Hansel tore out all the pages and lined them up so that they touched on the shorter side. How long was the line, if you know that the pages were numbered starting from number 1 and the
- Bar
Half of the bar is green, the third is yellow, and the remaining 40cm is red. How long is a bar?
- Garden
The garden around the new farm is divided as follows: 35% vegetable, 30% fruit orchards, 10% flowers, and the remaining 120 m² are lawns. What is the total area of the garden?
- Number 3178
Find a number from which 5% is as many as 7% out of 45.
- Traveled 3176
During the trip, the scouts ran 1/2 of the route on the first day, 2/5 of the route on the second day, and on the third day, they were still 12 km away. How many km have they traveled in all three days?
- Length-to-width 3175
We want to enclose a rectangular garden whose length-to-width ratio is 2:1 and whose half of the perimeter borders the road. The fencing path along the road costs 7 euros per meter, and the other fencing costs only 3 euros per meter. How many acres does a
- Quadrilateral-trapezoid 3172
We cut two triangles from the rectangular plate so that the resulting quadrilateral-trapezoid with the same arm lengths has an area of 32 cm², and one of its bases is twice as long as the other. What is the area of the two triangles that make up the waste
- Circumference 3170
Suppose we enlarge the side of the square by half the length, and the circumference of the square increases by 24 cm. Calculate the original side length.
- Calculate 3161
In the isosceles trapezoid ABCD, the arm is 5.2 cm long, the middle bar is 7 cm long, and the height is 4.8 cm. Calculate the lengths of both bases.
- Dimensions 3159
The rectangle is 6 cm longer than the width. A square with a side equal to the length of the rectangle has an area of 78 cm² larger than the rectangle. Calculate the dimensions of the rectangle.
- Simultaneously 3157
The first machine closes 65 closing bottles per minute. The second machine closes five bottles less at the same time. How many minutes will both machines close 2,500 bottles if they work simultaneously?
- Siblings
Three siblings had saved up a total of 1,274 CZK. Peter had saved up to 15% more than Jirka and Hanka, 10% less than Peter. How much money did they save for each one of them?
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