System of equations - math word problems - page 83 of 103
Number of problems found: 2050
- 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?
- Tangerines 3249
The bowl with tangerines weighs 16 kg. When the cook dispenses 2/3 of the tangerines in the school cafeteria, the bowl with the rest of the tangerines weighs only 8 kg. What is the weight of an empty bowl?
- Programmers 3247
The three programmers received a reward of 21,000 euros for their joint work. They received the money according to the work done. The first got 20% less than the second, and the third got 50% more than the first. How much did each of them receive?
- Enterprise company
30% of all employees in the enterprise are women. Men are 360 more. How many employees are in the company?
- Motel
Three different dinners, A, B, and C, are served in the motel. Three 20 members went to a motel. Group 1 ordered dinner A 20 members, and their average dinner price in the group was CZK 200. From Group 2, they ordered dinner A: 10 persons, B 10 dinners, a
- Intersection 3229
Intersection of graphs of functions y = 5x-2 and y = -3x-6
- One-sixth 3227
Two cans hold 20 liters of milk. If we pour from one-sixth to the other, both cans will be the same. How much milk is in each can?
- Children tickets
A ticket to the museum for children costs 10 SKK for adults and 20 SKK. Fifty people came to the museum and paid 700 SKK. How many children were there?
- 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?
- Together 3206
Jana, Martina, and Zuzka shared candies in a ratio of 4:5:3. During this division, Martina had 16 sweets less than Jana and Zuzka had together. How many candies did each of the girls have?
- Donuts
At one table, Thomas, Filip, and Martin sit in the dining room. Together they eat 36 donuts. Filip ate twice as much as Thomas and Martin half over Filip? How many have donuts eaten each?
- 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
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