Equation + system of equations - practice problems - page 7 of 64
Number of problems found: 1270
- Together 81521
Pavel and Vojta were planting trees at the forestry brigade. Pavel planted two more trees than Vojta in a six-hour shift. Together, they planted 156 saplings in three such shifts. How many saplings did Pavel and Vojta plant during the brigade? - Weighs 81511
2 hens weigh 1kg more than a goose. 3 hens weigh 1kg more than 2 geese. How much do one hen and one goose weigh? When every goose weighs the same, and every hen weighs the same. - Identical 81466
If the clerk at the buffet bought 15 identical loaves of bread, she would have 5 euros left in her wallet. If she bought 3 loaves of bread less, she would have 8.60 euros left. How many euros did she have in her wallet? - Neighbor 81456
Mr. Novak earns as many euros in half a year as his neighbor in 4 months. The neighbor earns 420 euros more per month than Mr. Novak. What is the monthly income of Mr. Novak?
- Simultaneously 81441
The tank is filled through three openings, A, B, and C. The simultaneously open inlets A and B are filled in 1 hour, inlets A and C in 45 minutes, and inlets B and C in 1.5 hours. How long would it take to fill each inlet separately? - Received 81440
At the flower festival, young growers sold cactus plants for CZK 12 and indoor violet plants for CZK 9. They sold a total of 47 pieces of flowers of both types and received CZK 501. How many cacti and how many violets did they sell? - Together 81384
Soňa and Elvíra have 20 CZK together, Elvira and Filoména have 15 CZK together, and Sonia and Filoména have 19 CZK together. How many CZK does Soňa have, how much Elvira, and how much Filomena? - Participants 81331
Two hundred fifty-two participants signed up for the classical ballroom dance course. There were 2 times more girls than boys. How many girls and how many boys applied? - Lollipops 81314
There are lollipops, candies, and candies in the basket. The number of lollipops and candies is in the ratio of 2:3, and the number of candies and candies is in the ratio of 4:5. There are 15 fewer candies than lollipops and candies combined. How many can
- Remaining 81308
Dana read the book in 4 days. On the first day, she read a third of the book; on the second day, a sixth of the book; on the third day, half of the remaining pages. She still had 30 pages left on the last day. How many pages was the whole book, and how ma - Kilograms 81234
The price of 1 kg of pears is 7 crowns higher than the price of 1 kg of apples. The seller sold 2 kg more apples than pears. He received the same amount for pears and apples, namely 420 CZK. How many kilograms of apples and how many kg of pears did he sel - Denarii 81214
Two men talk about how much money each has. The first says to the second: If you give me 12 denarii, we will both have the same. "Second branch: If you give me 12 denarii, I will have ten times more than you. How many denarii did each of them have? - Together 81151
Matěj has 2 more marbles than three times the number of marbles that Lojza. Both together have 18 balls. How many marbles does Lojza have? - Father 81149
The father is older than the son by the ratio of 5:2. Dad is older than 33. How old are they both?
- Quadrilateral 81137
In a quadrilateral, angle α is twice as large as angle β. Angle γ is 80% of angle α, and angle δ is 30° greater than angle α. Determine the angles of this quadrilateral. - Introduced 81104
The * (asterisk) operation assigning one number to two pairs of numbers is introduced as follows: (a, b)*(c, d) = ac+bd We know that: (x,2)*(-1, v) = -1 and (2,-1)*(u, v)=5 and (u, v)*(1,1)=-2 What is (1,2)*(x, y) equal to if y=3? - Chocolate 81103
I paid 36 crowns for butter and chocolate. Butter was CZK 6 more expensive than chocolate. How much did the chocolate cost? - Three-digit 81064
A three-digit number has a digit sum of 16. If we change the digits in the hundreds and tens places in this number, the number is reduced by 360. If we swap the ten's and one's digits in the original number, the number increases by 54. Find this three-dig - Participants 81059
Participants paid out 3,300 euros in 40 banknotes. Some were 50e, and others were 100e. How many were there?
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