System of equations - math word problems - page 54 of 110
Number of problems found: 2182
- Number sum division
The sum of the numbers is 878. If we divide the larger number by the smaller one, we get a ratio of 6 with the remainder of 17. What are the numbers? - Sand castle
Tim and Tom built a sand castle and decorated it with a flag on a pole. Half the pole was buried in the castle. The highest point of the pole was 80 cm above the ground, and its lowest visible point was 20 cm above the ground. How tall was the sand castle - Dromedaries
The zoo has ten camels, including bipedal camels (drabers) and single-humped camels (dromedaries). They have a total of 14 humps. Determine the number of auctioneers in the ZOO. - Cuboid Dimensions Sum Edges
The sum of the lengths of all block edges is 4m. The width is twice the length, and the height is seven times the width. Determine the dimensions of the block. - The treasury
Lucy has only two-crown and five-crown coins in her treasury. She has 30 coins worth 108 Czech crowns (CZK). How many two-crown and how many five-crown coins does she have? - Hares and pheasants
After the hunt, hares and pheasants lie in the field. There are a total of 80 heads and 190 feet. How many hares and how many pheasants? (please, without equations) - Society people distribution
There are men, women, and children in society. There are 3 times more men than women and 5 more children than women. If 6 more men and 6 women came, men would be half the company. How many women, men, and children are there? - Company Bonus Gender Percentage One thousand employees work in the company. At the end of the year, 10% of all men and 20% of all women received bonuses. Thus, the company rewarded 14% of the total number of employees. How many men and women work in the company?
- Luggage and air travel
Two friends traveling by plane had a total of 35 kg of luggage. They paid one 72 CZK and the second 108 CZK for being overweight. If only one paid for all the bags, it would cost 300 CZK. What weight of baggage did each of them have? How many kilograms of - Sum and ratio The sum and the ratio of two numbers are both equal to 10. What are the two numbers?
- Watering can
A watering can full of water weighs 11 kg. The weight of water is 10 kg greater than the weight of an empty watering can. How much is the weight of the watering can? - Rectangle Square Area Difference
In the given rectangle, the length is 12 m greater than the width. We get a square if we reduce the length by 10 m and increase the width by 2 m. The area of the original rectangle is 300 m² more than the area of the square. Determine the dimensions of th - Coins The boy collected coins with values of 5 CZK and 2 CZK when he had 50 pieces saved 190 CZK. How many he has each type of coin?
- Race Stages Length Percentage
The race was divided into four stages. The length of Stages 1 and 4 was 160 km. The length of the second stage represented a third of the total length of the race. The length of the 4th stage was twice as long as the third stage. What percentage of the to - Cows and calves
There are 168 cows and calves in the cowshed. Cows are in nine stalls, and calves are in four stalls. The same count of cows is in every cow stall, and there are three more calves in each calf stall than there are cows in each cow stall. What is the capac - Self-counting machine
The self-counting machine works exactly like a calculator. The innkeeper wanted to add several three-digit natural numbers on his own. On the first attempt, he got the result in 2224. To check, he added these numbers again, and he got 2198. Therefore, he - Money Sharing Equal Amount Sylva and Sarah have 20 CZK together. If Sylva gives Sarah 6 CZK, they will have the same. Sylva has how many more CZK?
- Competition Teams Member There were a total of 50 teams in the competition. Eight teams were four-member, the rest three-member and two-member. How many teams were three-member when 134 people took part in the competition?
- Sheep and cows
There are only sheep and cows on the farm. Sheep are eight more than cows. The number of cows is half the number of sheep. How many animals live on the farm? - Balance Scales Immersed Bodies
At the end of one arm of the equilibrium scales, which are in equilibrium, a lead body with a volume V1 is suspended in the air. At the end of the other arm is an aluminum body with a volume of V2. The balance arms have sizes l1 and l2, lead density h1 =
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