System of equations - practice for 13 year olds - page 18 of 45
Number of problems found: 887
- 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? - 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? - 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? - 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 three more in each calf stall than in a cow stall. What is the capacity of the stalls for cows and what - 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 - Difference 7985
The distance between cities A and B is 125 km. Two cars start from these places at the same time. The difference in their speed was 3 km/h. They met in an hour. What was the speed of each car?
- Flowerbed
Ondra digs the bed in 20 minutes. Cuba in 30 minutes. For how long do they dig together? - Triangle 42
Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is the measure of triangle BCA=? - The dormitory
The dormitory accommodates 150 pupils in 42 rooms, some of which are triple and some are quadruple. Determine how many rooms are triple and how many quadruples. - Jane plants
Jane plants flowers in the garden. If she planted 12 every hour instead of 9 flowers, she would finish the job an hour earlier. How many flowers does she plant? - Banknotes
Eva deposited 7800 USD in 50 banknotes in the bank. They had a value of 100 USD and 200 USD. How many were they?
- Cranberries
They brought 65 kg of dried cranberries to the packing house. They made 150-gram and 200-gram packages from them. How many kilograms of cranberries did they use for the smaller 200 packages? How many 200-gram packages were there? - A mother
A mother is three times older than her daughter. 9 years ago, a mom was six times older than her daughter. How old are a mother and daughter now? - Peter and Paul
Peter and Paul together have 26 years. Four years ago, Paul was twice older than Peter. How much is Paul and how much is Peter? - Determine 7836
We want to cut a 90 cm long rod into two parts so that the longer part of the rod is 2 cm shorter than three times the shorter part. Determine the lengths of both parts of the rod. - Tickets
One thousand two hundred sixty tickets sold. On the first day, 80% was sold on the second day was sold. How many tickets were sold first, and how much the next day?
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