Algebra - math word problems - page 145 of 302
Number of problems found: 6040
- A rope
Paul can cut a rope into equal lengths with no rope left over. The lengths can be 15cm, 18cm, or 25cm. What is the shortest possible length of the rope?
- 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
- Flowers 2
Cha cruz has a garden. The ratio of roses to tulips is 2:5, and the ratio of roses to orchids is 7:6. Cha Cruz wonders what the ratio of tulips to orchids is. If Cha Cruz has 183 plants, how many of each kind are there?
- One-third 6009
In the forest nursery, children planted new trees for 3 days. They planted a total of 84. On the second day, they planted 75% of what they did on the third day. On the first day, they planted exactly one-third of all planted trees. How many trees did the
- Czech crown salary
The employee's monthly salary is CZK 10,800. In the course of the year, the bulk salary increased by CZK 500. Calculate which employer increased month (1 ... 12) if its annual income was 133,600 CZK.
- Grandma 12
Tobias wanted to buy a five-part series of books about hockey. Each book in the series costs the same amount. But he only had 80% of the price for the first and second volumes. Grandma paid him the rest for the first and second volumes and 60% of the pric
- Retirement annuity
How much will it cost to purchase a two-level retirement annuity that will pay $2000 at the end of every month for the first ten years and $3000 per month for the next 15 years? Assume that the payment represents a rate of return to the person receiving t
- Water tanks
A different amount of water is poured into the three identical vessels. The first vessel has 30% water, and the second has 40%. The third container contains 19 liters of water. If we distributed the water from all the vessels equally, the water in each ve
- Washing powder
A 10-kilogram pack of washing powder is M euros more expensive than a 5-kilogram pack of the same powder. A 5-kilogram package costs P euros. Five kilos of packaging is not worth it because it is more expensive than half the price of 10 kilos. How much is
- Three lines
At 6 AM, three bus lines depart from the station. The first line has an interval of 24 minutes. The second line has an interval of 15 minutes. The third line runs at regular intervals of more than 1 minute. The third line runs at the same time as the firs
- Vegetable stew
The recipe for vegetable stew is recommended to mix tomatoes, peppers, and onions in a ratio of 4:3:1. The cook has already prepared both onions and peppers. In contrast, the onions were five kilograms less than the peppers. How many kilograms of tomatoes
- Trucks
Three lorries droved bricks. One drove n bricks at once, the second m fewer bricks than the first and the third 300 bricks more than the first lorry. The first lorry went four times a day. The largest went three times a day, and the smallest lorry five ti
- Toy cars
Paul has a collection of toy cars. He wanted to regroup them. But when he divided them into groups of three, four, six, and eight, he was always one left. Only when he formed groups of seven did he divide all toy cars. How many toy cars are in the collect
- Basements
In the first cellar, there are more flies than spiders. In the second, the opposite. In each cellar, the flies and spiders had a combined 100 legs. Determine how many flies and spiders could have been in the first and how many could have been in the secon
- Spartakiada
Practitioners lined up in rectangles with a row with four, five, or six exercisers, one always missing an entire rectangle. How many exercisers were on the field, if they have estimated not been more than 100?
- Working time - shortening
The media often speculates about the change (especially to shorten) the working time of the five-day, eight-hour working week to another working model. Calculate how many hours the employee would have to work a day at 3-day work week if he must work the s
- Describe 6648
Images of three numbers are marked on the number line: 0, m, 3m-1. The marked pieces are the same length. a) express the ratio m:(3m-1) b) mark and describe the image of the number 1 on the number line.
- Expensive 17743
The street vendor offered 60 shirts of two types at a total price of CZK 27,300. Cheaper shirts cost 420 CZK, more expensive 480 CZK. How many were there?
- Determine 25341
In a two-digit number, the number of tens is three more than the number of ones. If we multiply the original number by a number written with the same digits but in the reverse order, we get the product 3 478. Determine the actual number.
- Mushrooms
Grandfather gathered fresh mushrooms. The fifth was wormwood, and we threw it away. The other dried up. He obtained 720 grams of dried mushrooms. How many kilograms did the grandfather collect, and they lost 75% of their weight by drying the mushrooms?
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