System of equations - math word problems - page 71 of 107
Number of problems found: 2135
- 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 rode towards each other simultaneously from opposite ends of the 28km long route. Each covered the entire route at a constant speed, the fastest being at the finish line 35 minutes earlier. On the route, the cyclists passed each other after 1 - 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
Honza receives pocket money and wants to buy something good with it. If he purchased four cakes, he would have CZK 5 left. If he wanted to buy five cakes, he would be 6 CZK short. If he had bought two pies and three doughnuts, he would have spent all his - Girl weights
Sandra weighs the same as Markéta and 3 kg less than Justýna. All three together weigh 156kg. How many kilograms does each girl have? - Unknown numbers
The sum of two consecutive natural numbers and their triple is 92. Find these numbers. - Theatre performances
A total of 15,744 CZK was collected as admission 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 revenue f - 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
Alena and Marta want to go on vacation together. Alena 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 Alena. 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 Janka 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?
- 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 7A collected 3.2 tonnes of iron, more than class 7B. Together they collected 6.4 tonnes of iron for the secondary raw material collection. How much did each class collect? - Cake and cone cost
Janko got pocket money and wants to buy something good for it. If he purchased four cakes, it would increase by 0.50 euros. If he wanted to buy five cakes, he would miss 0.60 euros. He would spend all his pockets on the rest if he bought two cakes and thr - Boys and girls
There are 48 children in the sports club. Boys are ten more than girls. How many girls go to the club?
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