System of equations - math word problems - page 22 of 110
Number of problems found: 2182
- Runner opposite speed
Two runners train on a circular track that is 375 m long. When they start from the same place and run in opposite directions, they meet in 30 seconds. When they run in the same direction, they are 15 m apart in 30 seconds. What is the average speed of eac - Matej Anton age
Matthew and Anthony are 44 years old together. Matthew is twice as old as Anthony was when Matthew was half as old as Anthony will be when Anthony is 3 times older than Matthew was when Matthew was 3 times as old as Anthony. - Prizes in a competition
In a competition announced for a design of a poster, the prizes for the first three winners are prizes of a total value of 9 500 Kč. The second prize has a value of two thirds of the first prize, and the third prize has a value of two thirds of the second - Arithmetic sequence numbers
The three numbers that make three consecutive members of an arithmetic sequence have a sum of 60 and a product of 7500. Find these numbers. - Nail screw sales
The hardware store sold 1 kg of nails for CZK 400 and 1 kg of screws for CZK 800. How many kilograms of nails and how many screws did they sell if they sold a total of 5 kilograms and earned CZK 3,200. - Tickets 10
There are two types of zoo tickets: A for adults and C for children and senior citizens. The cost of 7 type A and 4 type C tickets is 46 €, whereas the cost of 8 type A and 6 type C tickets is 57 €. Calculate the cost of 5 type A and 3 type C tickets. - House floor ratio
The house has two floors. Men and women live on each floor in such a number that their ratio is 3:2 on each floor. Five more people live on the second floor than on the first floor. How many women live on the second floor? - Granddaughters seedling planting
Grandma bought 200 ingredients. Granddaughter Helen planted 20% more than granddaughter Dana. Granddaughter Eve planted 40 more seedlings than Dana. Granddaughter Susan planted 0.8 times more than Dana. How many seedlings did each of the granddaughters pl - Odra river length
The length of the Odra in Moravia is 42% of its length in Poland. The total flow length from the source to the sea is 1165 km. What is the distance in Moravia, and what is the distance in km on the Polish side? - Pavement around the house
The pavement around the Vyberar family's house has two parts with a total length of 19 metres. The longer part of the pavement is 1 metre shorter than three times the length of the shorter part of the pavement. Decide for each of the following statements - An amusement 2
An amusement park sells child and adult tickets in a ratio of 8:1. On Sunday, they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Sunday? - Susan 2
Susan packed some sugar into small and large packets. The total mass of 4 large packets and 3 small packets is 43 kg. Each large packet is 2 kg heavier than each small packet. What is the mass of one large packet? - Two numbers
Numbers A and B differ by 95. If from number A we subtract two thirds of it, we get the same result as when we add three fifths to number B. Decide for each of the following statements whether it is true (T) or not (N). a) The larger of the two numbers is - They divided
Jana, Martina, and Susan divided candies in the ratio 3:7:5. Martina received 9 fewer candies than Jana and Susan combined. Which statement is true? A. Martina received fewer candies than Susan. B. They all received 135 candies together. C. Martina receiv - Ball sharing percentage
Three classmates shared 710 balls, so the second got 20% more than the first and the third 35% more than the first. How many balls did the third of them get? - Length 26
The length of the median of a trapezoid is 10 inches. The median divides the trapezoid into two regions whose areas are in the ratio 3:5. What is the length of the shorter base? - Mark Argie
Mark Argie has P11.50 more than Erwin. Together, the two boys have P131.50. How much does Mark Argie have? - Coins in a money box
Karol has in his money box in total 19 coins, and only ten-crown and fifty-crown coins. In total he has in the money box 830 Kč saved. Which statement is false? (Provide a solution procedure for the individual statements.) a) In the money box 170 Kč (Czec - Gathering of solvers The best solvers of the mathematical olympiad and their leaders came to a gathering. They all stayed in a pension with two-bed and three-bed rooms, such that all beds in these rooms were fully occupied. The two-bed rooms were exactly a third of all rooms
- In a bakery
In a bakery, a bun costs 2 CZK more than a roll. Petr bought 4 buns and 8 rolls and paid exactly 62 CZK. a) Calculate the price of one bun in CZK. b) Calculate in CZK how much Petr would pay to buy 2 buns and 2 rolls. c) Determine how many rolls Petr coul
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