System of equations - math word problems - page 73 of 110
Number of problems found: 2182
- Course dimensions
The rectangular course is 12 m longer than its width. Suppose its length increases by 10 m and its area increases by 600 square meters. What are its dimensions? - Cyclist speed
Two cyclists set out simultaneously toward each other from opposite ends of a 28 km route. Each rode at a constant speed, with the faster cyclist reaching the finish line 35 minutes earlier. The cyclists passed each other after 1 hour of riding. At what s - Herd of fallow deer
When we were passing by the castle, we discovered in the castle garden a large herd of fallow deer, apparently accustomed to the admiration of people. Most of them were right by the road. Half of the herd was calmly lying just behind the fence, two sevent - Tulips and daffodils
Two hundred twenty tulips and daffodils are planted in the flowerbed. One-third of all tulips and one-sixth of all daffodils equals the number of all tulips. How many tulips and how many daffodils? - 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 - Girl weights
Sandra weighs the same as Markéta and 3 kg less than Justýna. All three together weigh 156 kg. How many kilograms does each girl have? - Unknown numbers
The sum of two consecutive natural numbers and their triple equals 92. Find these numbers. - Theatre performances
A total of 15,744 CZK was collected in admission fees for three theatre performances. The revenue from the second performance was 20% higher than the revenue from the first performance, and the revenue from the third performance was 10% lower than the rev - Substitution
Solve equations by substitution: x+y= 11 y=5x-25 - Simple equations
Solve the system of equations: 5x+3y=5 5x+7y=25 - Vacation ticket
Helen and Marta want to go on vacation together. Helen lacks CZK 300 to buy the selected ticket, and Marta has 4 times that amount left over. We know that Marta has 50% more CZK available than Helen. How much does a ticket cost? - Chess reward
A reward of 1200 CZK is prepared for the 4 best champions in the chess tournament. It will be divided so that the second gets half of the first, the third half of the second's reward, and the fourth half of the third. How many CZK will each person receive - Tracksuit savings
The tracksuit became cheaper by 15% later on sale and later by 10%. How many euros did Jane save if she bought this set after the second discount and paid € 45.9? - Mother and daughter
The mother is four times older than her daughter. Five years ago, her daughter was seven times younger than her mother. How many years do they have now? - Digit equations
The digit sum of a two-digit number is 8. If we change the order of the digits, we get a number 18 smaller than the original. Identify these numbers. We are using linear equations of two unknowns. - Bus Passenger Distribution
There are 36 passengers on the bus. There are seven women more than men and 22 children less than adults. How many men, women, and children are on the bus? - Dividing Goods to Stores They delivered goods to four stores. First, they collected one-third of the shipment, second only two-thirds of what happened in the first. In the third, one-quarter of the rest, and the fourth, the remaining 240 kg. How much did they make at each store?
- MO Z8–I–4 2017
Robots Robert and Hubert assemble and disassemble coffee grinders. Each of them, however, assembles a grinder four times faster than the other one disassembles it. When they came to the workshop in the morning, several grinders were already assembled ther - Intersection of the altitudes
In the acute triangle KLM, the angle KLM is 68°. Point V is the intersection of the altitudes, and P is the foot of the altitude on the side LM. The angle P V M axis is parallel to the side KM. Compare the sizes of angles MKL and LMK. - Iron collecting
Class 7 A collected 3.2 tonnes more iron than class 7B. Together they collected 6.4 tonnes of iron for the scrap metal drive. How much did each class collect?
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