System of equations - practice for 14 year olds - page 28 of 61
Number of problems found: 1210
- Accommodated 8189
One hundred sixty-nine pupils were accommodated in 45 rooms at the outdoor school. Some were triple, and some quadruple, and all were fully occupied. How many were triple and quadruple rooms there? - Heights 8157
The heights of Jirka and David are in the ratio of 5: 3. Jirka is 60 cm taller than David. How much does Jirka measure? - Geese and piglets
There were geese and piglets in the yard. Jane calculated that they have a total of 20 heads and 64 legs. How many geese and how many piglets were in the yard? - Three-euro 8145
Martin bought two-euro and three-euro stickers for 65 euros. There were five times more than two euros. How many stickers of all kinds did Martin buy? - Potatoes
For three days, the store sold 1400 kg of potatoes. On the first day, they sold 100 kilograms of potatoes less than on the second day. On the third day, three-fifths of what they sold the first day. How many kgs of potatoes are sold every day? - Hundred-euro 8140
Mr. Novák had one hundred and fifty euro bills in his wallet. There were 21 in total, and their total value was 1550 euros. How many hundred-euro and how many fifty-euro notes did Mr. Novák have in his wallet? - Nine books
Nine books are to be bought by a student. Art books cost $6.00 each, and biology books cost $6.50 each. If the total amount spent was $56.00, how many of each book were bought? - Kilometers 8138
In three days, the students went 65 km on a trip. On the first day, they ran twice as much as on the third day, and on the second day, they ran 10 km less than on the first day. How many kilometers did they cover each day? - Rectangular 8136
Divide a square garden with a perimeter of 124 m into two rectangular gardens, with the fence of one garden 10 m longer than the fence of the other. What dimensions will these rectangular gardens be? - Determine 8134
The perimeter of the rectangle, which can be divided into three squares, is 168 cm. Determine the lengths of its sides. - Remainder 8124
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 embellished it with a flag. Half the pole with the flag plunged into the castle. The highest point of the pole was 80 cm above the ground, and its lowest point was 20 cm above the ground. How high was the sand castle? - (dromedaries) 8122
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. - Dimensions 8111
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. Thank you luck - 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? - Employees 8068
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 ratio of two numbers are equal to 10. Which numbers are they? - 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? - 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?
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