Algebra - math word problems - page 142 of 312
Number of problems found: 6224
- Solving tasks
a/ When we cut each carrot into sixths, there will be 24 pieces more in the soup than when we cut it into quarters. How many carrots do we cut? b/ In an orchard there were 46 more apple trees than pear trees. A storm uprooted a quarter of the apple trees - Three items
The price of a product is determined by these three items: the price of equipment (hardware), the price of software, and the profit. The price of the software was 500 Kč higher than three times the price of the hardware. The profit was set twice as high a - Solution Without Equations
The ratio of Eva's and Zdeněk's ages is currently 3:2; in six years this ratio will be 9:7. a) How old are the siblings now? b) By how many years and how many times older is Eva than Zdeněk? c) By how many years and how many times older will Eva be than Z - Mr. Gazdíček
Mr. Gazdíček has in the garden two identical tanks for rainwater, which he uses for continuous irrigation. At the last check, there were 1 000 litres in the first tank and 1 200 litres of water in the second. From the first tank water flows at a rate of 1 - Restaurant
At "The untameable boar" they had thirty tables before the brawl, marked with natural numbers 2 to 31. Just two tables belonged to the lounge. So that the staff could find out at inventory which two they are, they used a trick. On the door of the lounge t - Container with water
The weight of a container with water is 2.48 kg. Suppose the cast is 75% water, and the container with water weighs 0.98 kg. Determine the weight of the empty container. How much water was originally in the container? - Parallel and orthogonal
I need math help in this problem: a=(-5, 5 3) b=(-2,-4,-5) (they are vectors) Decompose the vector b into b=v+w where v is parallel to a and w is orthogonal to a, find v and w - Supplementary angles
One of the supplementary angles is larger by 33° than the second one. Calculate the angles sizes. - Grand Pardubice Steeplechase
George decided to divide the winnings from the bet in Grand Pardubice Steeplechase (Velká Pardubická) between himself and his three younger brothers according to age in the ratio of 2:3:5:7. They paid each amount in whole crowns. One of the amounts was CZ - Purchase
The mother bought five boxes of milk and 7 kg of potatoes and paid a total of CZK 147. The aunt bought seven boxes of milk and 3 kg of potatoes and paid 131 CZK. What is the price of one carton of milk and 1 kg of potatoes? How would CZK together have bee - Acceleration of a train
The train passes 700 m, braking with an acceleration of -0.15 m/s². How long does it break, and what is the final speed of the train if the initial was 55 km/h? - Tablet Price Before Discount
Karel was saving for a tablet. When he had €178 saved, he discovered that the tablet's price had been reduced by 25%, so he could buy it right away and still have €13 left from the saved money. How much was the tablet before the discount? - Vector v4
Find the vector v4 perpendicular to the vectors v1 = (1, 1, 1, -1), v2 = (1, 1, -1, 1) and v3 = (0, 0, 1, 1) - Purchased
Milo shopped in a store where the prices of all goods were listed in whole euros. If Milo bought 2 milks, 3 glasses, and 1 pack of sweets, he would pay €49. If he bought 5 more milks, 11 glasses, and 1 pack of sweets, he would pay €154 in total. How many - Interest 2
At the beginning of the year, Ms Mařasová obtained a loan from the bank of 75,000 CZK for three years at an interest rate of 12.5%. She will repay the loan and interest in one lump sum after three years. The bank compounds interest twice a year, always at - TV competition
Ten contestants in the competition answer five questions, one per round. Anyone who answers correctly will receive as many points as the number of competitors who answered incorrectly in that round. After the contest, one of the contestants said: We got 1 - The florist
The florist had 200 roses in the morning. During the day, more than half sold it. The remaining roses will be tied to the bouquet. One always remains if a bouquet of 3, 4, 5, or 6 roses is bound. How many roses from the morning shipment were sold? - Hectares
The tractor plows on the first day of 4.5 ha, the second day of 6.3 ha, and the third day of 5.4 ha. It worked whole hours a day, and its hourly performance did not change and was the highest possible. How many hectares did it plow in one hour (what is it - Pocket money
John receives pocket money and wants to buy some treats. If he bought four cakes, he would have CZK 5 left. If he wanted to buy five cakes, he would be CZK 6 short. If he bought two pies and three doughnuts, he would spend all his pocket money with nothin - Savings interest It was 1975, and Petr deposited the entire cash of 10,900.40 Euros in a savings account with 4% interest, credited monthly. He did not add anything to the book, and in exactly 15 years, he withdrew the entire amount in cash. How much did you choose?
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