System of equations - math word problems - page 82 of 103
Number of problems found: 2041
- Scratches
The ticket seller sold 1,280 scratch cards in three days. He sold 90 tickets less on the second day than on the first day. He sold 1.5 times more tickets on the third day than on the second day. How many tickets did he sell on the third day?
- Numbers 3323
The sum of two numbers is zero. A quarter of the first equals half of the second. What are the numbers?
- Subsequent 3312
We have to distribute 1200 euros to the five successful Olympic solvers so that the second and each subsequent one gets 50 euros less than the previous one. How many euros did each get?
- Collecting 3306
Four friends received money for collecting paper as follows: Mirko received a quarter of the total amount, Robo received a third of the rest of the money, and Boris received half of the money left by Mirko and Robo. Peter has 16 euros left. How many euros
- Rectangle
The length of the rectangle is 12 cm greater than three times its width. What dimensions and area does this rectangle have if its circumference is 104 cm?
- Magnitudes 3304
In triangle ABC, the interior angle at vertex B is 10 degrees greater than the angle at vertex A, and the angle at vertex C is three times greater than the angle at vertex B. Calculate the magnitudes of the interior angles of the triangle.
- Remuneration 3303
The annual remuneration of the two employees was a total of EUR 18,750. The remuneration of one of them in 6 months was the same as the other in a year. How big was the annual reward for each of them?
- Three angles
In a triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha. The size of the angle beta is 80 degrees larger than the size of the gamma angle. Calculate the magnitudes of the interior angles of the triangle ABC.
- Calculate 3292
The perimeter of the isosceles triangle is 32 cm. The base is 2 cm longer than the shoulder. Calculate the sides of the triangle.
- Adolescents 3286
The rowing club has 90 members. Four times as many older adolescents are in the section as younger adolescents. On the other hand, 54 fewer younger adolescents are in the section than older adolescents. How many older and younger adolescents are there?
- Magic number
The number 135 split into two addends so that one addend was 30 greater than 2/5 the addend.
- One-sixth 3279
If I had half as many nuts as I have now, I would have the same as Vendulka. If Vendulka had a third less than she has now, she would have the same size as me. If she had one-sixth less than she has and gave me that part, we would have the same amount. Ho
- Determine 3277
Seventh, eighth, and ninth graders were sitting in the cinema hall. There were a total of 250 pupils in the cinema hall. There were 30 more sevens than eights and 10 fewer eights than nines. Determine how many pupils there were.
- Individual 3276
There are 2,600 moldings in stock. They are to be divided into 3 workshops so that in hall 1, there are 400 moldings less than in hall 2, and in hall 2, there are 300 moldings more than in the third hall. How many moldings are delivered to individual hall
- Identify 3271
The sum of the two numbers is 110. The first number is 900% of the second number. Identify both of these numbers.
- Pears
Andrew, Lenka, and Rastro have together 232 pears. Lenka has 28 more than Rastro, and Rastro pears have 96 more than Andrew. Determine how much each of them has pears.
- One-quarter 3256
Michaella and Sarah have saved 220 CZK together. They went on a pilgrimage; Michaella took one-quarter of her savings, and Sarah took one-fifth of her savings. Both of them together had 50 CZK for the pilgrimage. How much did Michaella and Sarah save in t
- Grandfather 3253
Grandfather keeps 40 animals — geese, pigs, goats, and chickens—in total. There are 3 geese for every goat. If there were 8 fewer chickens, there would be as many geese and pigs combined. If Grandpa exchanged a quarter of the geese for chickens at a ratio
- Another 3251
The car drove from Liberec to Olomouc for 5 hours. Another vehicle drove 12 km more in an hour and made the same journey in 4 hours. How far is it from Liberec to Olomouc?
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