Equations practice problems - page 30 of 239
Number of problems found: 4765
- In a queue
There are cars and trucks in a queue in front of a toll gate. A truck is three times longer than a car. Calculate how many cars are in front of the car that has just arrived, if there is one truck among them, which is one eighth of the length of the queue
- Liters 83211
We have 160 L of water at 67°C; how many liters of cold water at 18°C are needed to cool it to 39°C?
- Beatka 83184
Anna had 3 times more than Beatka. Cilka had 2 euros more than Beátka. They had a total of 52 euros. How much did each have?
- Administrative
There are 21 employees working in a warehouse - manual and clerical workers. When adjusting the wages, they reduced the daily wage of each clerical worker by €3 and increased the daily wage of each manual worker by €2, so the total daily wage increased by
- Daffodils 83181
The spring bouquet consists of 13 daffodils and 8 tulips, and the other 30% are freesias; how many flowers are there in total?
- Dimensions 83176
If we reduce the length of the rectangle by 2 cm and the width by 1 cm, its area will decrease by 8 cm². If we increase the length of the rectangle by 1 cm and the width by 2 cm, then its area will increase by 13 cm². What were the original dimensions of
- Apprentice 83169
The master gave the apprentice the task of dividing the 28 m long electric cable into two parts so that the second part was 2.5 times larger than the first. How long were the cable sections supposed to be?
- Afternoon 83168
In the morning, 6 liters more water was in the green canister than in the blue one. In the afternoon, the gardener poured 1 liter of water from the green canister into the blue one. There was then twice as much water in the green canister as in the blue o
- Hypotenuses 83154
In a right-angled triangle ABC with a right angle at the vertex C, the magnitudes of the hypotenuses are given ta=5, tb=2√10. Calculate the side sizes of triangle ABC and the circle's radius described by this triangle.
- Students 83149
There are 30 students in the class. Five had a mark three — other twos and ones. The average grade was 1.9. How many students got mark one?
- Rectangle 83142
How many different plots of land in the shape of a rectangle with length and sides in whole meters can we fence if we have 49 m of mesh available?
- Basketball 83137
In the basketball game, the players threw 37 times, including 2-pointers and 3-pointers, for a total of 82 points. How many were 2 points, and how many were 3 points?
- Banknotes 83131
Cashier Samuel had a total of 20 banknotes in the cash register with a total value of 850 euros. They were only €50 and €20 notes. How many of each bill did he have?
- Jendo's 83123
Jenda, Milan, and Tomáš have a total of 203 Pokemon cards. Jenda has twice as many cards as Tomáš, and Milan has a quarter of Jendo's number of cards. a) How many cards does Jenda have? b) How many fewer cards do Milan have than Jenda and Tomáš?
- Arrangements 83122
A florist was preparing floral arrangements for a wedding. One-third of the flowers were roses, six peonies, and five-twelfth tulips; the remaining 10 were lilies. a) How many flowers did the florist use? b) How many tulips were there
- Remaining 83116
Ondra was reading a book. On the first day, he read one-tenth. On the second day, he read half of the remainder; on the third day, he read 20% of the new remainder; and on the fourth day, he read the remaining 72 pages. Thus, the book had 72 pages.
- Test questions
Irena solves the test. She solved three-quarters of all questions during the first reading and another sixth during the review. In total, she solved 22 questions. How many questions does the whole test consist of?
- Circumferences 83111
Péta composed several planar shapes from mutually congruent triangles. The circumferences of the first three are 8 cm, 11.4 cm, and 14.7 cm, respectively. Determine the perimeter of the fourth shape.
- Determine 83110
Write the problem: adding twice x and a number three times larger than x reduced by 1 gives the sum 27. Determine the number x.
- Friend 83103
A friend spent 2/5 on a pencil case and 3/10 on a laptop, leaving her with 3.3 euros. Thus, her total was 3.3 euros.
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