System of equations - math word problems - page 48 of 110
Number of problems found: 2182
- Integer sum difference
The sum of two integers is three, and their difference is 7. Determine the unknown numbers. - Dog goose puzzle
Dogs and geese ran around the backyard. Together, they had 12 heads and 30 legs. How many geese ran around the backyard, and how many dogs? - Crayon basket calculation
Wendell has 4/5 the number of colored pencils. But if Mary took 1/2 of it, there would be 20 crayons left. How many crayons were still in the pencil case before Wendell's collection? - Trio ratio
Hans, Alena, and Thomas have a total of 740 USD. Hans and Alena split in the ratio of 5:6, and Alena and Thomas in the ratio of 4:5. How much will everyone get? - Dessert purchase calculation
Mom bought desserts for her birthday party. The pinwheel cost CZK 14, and the Indian women CZK 11. She paid 201 crowns for 15 desserts. How many pinwheels did she buy, and how many Indians? - Christmas or Easter
Please calculate this example by the Venn equation. They asked 73 students whether they liked Christmas or Easter. Thirty-four of them like one of the holidays. 39 loves Easter. There are twice as many students who wish for both holidays as those who only - Coin savings calculation
Jana saves two-crown and five-crown coins. He has ten coins in the coffers. How many are two Czech crowns, and how many are five Czech crowns if he has saved CZK 29? - Triangle angle calculation
The alpha angle is twice the beta angle, and the gamma angle is three times the beta angle. Determine the sizes of all interior angles of the alpha, beta, and gamma triangle ABC. - The farm
The farm harvested 390 tons of grain. Wheat was 15% more than barley, and rye was 126 tons less than wheat and barley combined. How many tons of wheat, how many tons of barley, and how much rye did the team get? - Mom son age
Mom is nine years older than her son. In 19 years, his son will be as old as his mother is now. How old is the mom, and how old is the son? - Two patches
Peter taped the wound with two rectangular patches (one over the other to form the letter X). The area sealed with both patches simultaneously had an area of 40 cm² and a circumference of 30 cm. One of the patches was 8 cm wide. What was the width of the - Two-digit number
The digit sum of thinking two-digit natural numbers is 11. When it exchanges a sequence of digits, given a number that is 27 less than the thinking number, find out which number I think. - Two numbers
The difference between the two numbers is 74. If we divide a larger number by a smaller one, we get a quotient of seven and the rest 2. Determine both numbers. - Together m+w
Women are 30%. Men are 360 more. How many are together? - Stones 3
Simiyu and Nasike each collected several stones in an arithmetic lesson. If Simiyu gave Nasike 5 stones, Nasike would have twice as many stones as Simiyu. If, initially, Simiyu had five stones less than Nasike, how many stones did each have? - Students
If the fifth-grade class left 20% of students and in the seventh grade were added two pupils, in the eighth one pupil, the number has not changed in the ninth grade, but it is now tenth students less than it was in the fifth grade. How many pupils are in - Student class distribution The 32 quartet students were divided into two classes during the game. After the first round, four students moved from the first class to the second, so half the number of students in the second class were in the first class during the first round. How we
- Rectangular garden
The perimeter of Peter's rectangular garden is 98 meters. The width of the garden is 60% shorter than its length. Find the dimensions of the rectangular garden in meters. Find the garden area in square meters. - Two ports
From port A on the river, the steamer started at an average 12 km/h speed towards port B. Two hours later, another steamer departed from A at an average speed of 20 km/h. Both ships arrived in B at the same time. What is the distance between ports A and B - In theatre 2
A ticket for the balcony costs x CZK, and a ticket for the auditorium costs y CZK. For the afternoon performance, 98 balcony tickets and 186 auditorium tickets were sold, earning a total of 10,970 CZK. For the evening performance, 127 balcony tickets and
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