System of equations - math word problems - page 46 of 107
Number of problems found: 2130
- Average monthly salary
A total of 10 teachers work at one small school in Moravia. The monthly salary of each is 21,500 CZK or 21,800 CZK or 22,500 CZK, according to their education and age. The average monthly salary for this school's teacher is 21 850 CZK. How many teachers o - Motion
The two bodies move in the same direction evenly in a straight line, at speeds of 5 cm/s and 10 cm/s. The movement of the first body started 2 seconds earlier than the movement of the second body, from a point located at a distance of 20 cm from the start - Parallel and orthogonal
I need math help in this problem: a=(-5, 5 3) b=(-2,-4,-5) (they are vectors) Decompose the vector b into b=v+w where v is parallel to a and w is orthogonal to a, find v and w - Tourist speed puzzle
If a tourist reduced his speed by 1 km/h, he would walk less than 12 km in 3 hours. If he added to the step by 1km/h, he would walk more than 25 km in 5 hours. How fast is the tourist? - Book reading comparison
Peter and Eve read the same book. Petra read 14 pages a day, so she read it a day before Eva, who read 12 pages a day. How many pages did the book have? - Scholarship
The annual scholarship for the best and second-best student in the class is 3500 euros. The best student scholarship in 8 months is the same as the second-best student scholar in the class for the whole year. How big is the annual scholarship to be the fi - System equation solving
Solve the system: 15x + 30y = -20 0.3x-0.2y = 0.4 - Number proportion sum
Please write the number 140 as the sum of two numbers whose proportion is 3. - Triangle angle ratio
Calculate the magnitude of the interior angles of the triangle ABC if alpha = two-fifths beta and alpha = one-quarter gamma. - 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
Vendelín has 4/5 the number of colored pencils. But if Maruška took 1/2 of it, there would be 20 crayons left. How many crayons were still in the penalty before Vendelín'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 40cm² and a circumference of 30cm. One of the patches was 8cm wide. What was the width of the sec
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