System of equations - math word problems - page 42 of 107
Number of problems found: 2130
- Vector perpendicular
Find the vector a = (2, y, z) so that a⊥ b and a ⊥ c where b = (-1, 4, 2) and c = (3, -3, -1) - Football goal calculation
During the football season, Adam scored 23 goals more than Braňo, and Braňo scored 16 goals less than Karel. Edo scored 6 goals more than Dušan. Karel gave 5 more than Edo. Braňo and Edo scored 17 goals together. How many goals did each boy score, and how - Average speed
The average speed of a good cyclist is 30 km/h. The average speed of the less able is 20 km/h. They both set off on the same route at the same time. A good cyclist drove it 2 hours earlier. How long was the route? - Bus people distribution
There are 39 people on the bus. There are 11 more adults than children. How many children are on the bus, and how many adults? - Sibling savings calculation
Two siblings, Eva and Peter, saved a total of 228 CZK. Eva saved three times more than Peter. How much did each of them save? - Exhibition visitor calculation
During 3 days, 2870 people went to the exhibition. On the second day, 140 more people came to the exhibition than on the first day. On the 3rd day, there were 1.5 times more people at the exhibition than on the second day. How many people visited the exhi - The bakery
The bakery delivered 60 kg of bread to the store. The bread weighed 1 kg and 2 kg, a total of 35 pieces. How many loaves weighed 1 kg, and how many were two-kilo loaves? - Backpack color distribution
They have two types of backpacks in the store. Blue is for 160 CZK, and red is for 180 CZK. They have 24 backpacks with a total value of CZK 4,120. How many blue and red backpacks do they have? - Trapezoid angle calculation
In the ABCD trapezoid: | AD | = | CD | = | BC | a | AB | = | AC |. Determine the size of the delta angle. - Trip distance calculation
The Macháček family went on a 3-day trip to Třeboň. They didn't want to get too tired but wanted to see a lot. Therefore, they drove at a walking pace, and at the end of the 3rd day, they measured 90 km on the speedometer. On the second day, they traveled - Pavel 3
Pavel has deposits in two accounts. One in a current account with an annual interest of 2% and the other in a savings account with an annual interest of 4%. Both deposits earned him CZK 1,000 per year. If Pavel transferred the deposit from one account to - Mushroom collection calculation
Vašek likes to go to the forest to pick mushrooms. He collected them successively for 3 days. Day 1 found seven less than Day 3. On the second day, he collected eight more than on the third day. He collected a total of 79 mushrooms. How much did he collec - Business trip calculation
Thirty-five people took part in the business trip. They paid a total of €246. The journey price for employees was €6 and for a family member, €9. How many employees were on tour? I will also ask for the procedure. - Number calculation puzzle
A number twice less than y is 12 less than y. Determine the size of the number y. - Cinema ticket sales
The cashier at the cinema sells tickets for 50 CZK and 40 CZK. He has sold 143 tickets and earned a total of CZK 6,340. How many tickets did he sell? - Ski trip calculation
Adults and children, a total of 40 people, took part in the ski trip. The tour price was 140 CZK for adults and 60 CZK for children. A total of CZK 3,200 was collected. How many children and how many adults took part in the tour? - Crown coin exchange
The merchant exchanged CZK 1,000 (CZK is the Czech crown) for twenty and ten crowns in the bank. He had a total of 70 coins. How many crowns did he have? How many crowns did he have? - Rhine Danube length
The length of the Rhine is 3/7 the length of the Danube. Both together are 4000 km long. How long is each river? - Gibraltar Strait
The length of the Strait of Gibraltar is 1.5 times the length of the Bering Strait. The total length of both straits is 150 km. Find the length of each waterway. - The tourist
The tourist wanted to walk the route 16 km at a specific time. He, therefore, came out at the necessary constant speed. However, after a 4 km walk, he fell unplanned into the lake, where he almost drowned. It took him 20 minutes to get to the shore and re
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