System of equations - math word problems - page 63 of 107
Number of problems found: 2130
- Six-sided polygon
There is a six-sided polygon. The first two angles are equal, the third angle is twice (the equal angles), two other angles are trice the equal angle, while the last angle is a right angle. Find the value of each angle. - Number ratio
Images of three numbers are marked on the number line: 0, m, 3m-1. The marked pieces are the same length. a) express the ratio m:(3m-1) b) mark and describe the image of the number 1 on the number line. - Right triangle eq2
Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70. - Rectangle perimeter
Adam had three identical rectangles. He put them together and got a rectangle with a circumference of 50 cm. Then, he placed them differently and got a rectangle with a larger circumference. Calculate its perimeter. - Students Language Proficiency German
Two hundred fifty-five students of a certain high school know one other language in addition to English. Twenty-three more pupils mastered the German language than the Spanish language. The French language is mastered by 37 fewer pupils than the German la - Rectangles
The perimeter of a rectangle is 90 m. Divide it into three rectangles. The shorter side has all three rectangles the same. Their longer sides are three consecutive natural numbers. What are the dimensions of each rectangle? - Toy Cars Sharing
Rudo has three times more cars than his friend Brano. When Rudo's younger brother Igorko took four vehicles for both of them, Rudo had five times more than Braňo. How many cars does Braň have now? - Room Bed Distribution
There are 169 pupils, 45 rooms, how many rooms are three beds and how many five beds? - Fraction Value Changes
The fraction will have a value of 3 if we increase the numerator (a) by 1 and simultaneously decrease the denominator (b) by 2. However, if we simultaneously decrease the numerator and the denominator by 1, the fraction will have a value of 1/2. What frac - Vacation Cost Sharing Equal
Romana, Pavol, and Ján were on vacation. Everyone paid some part of the cost. After the vacation, it was found that Romana spent Sk 19,000 for all three, Pavol Sk 7,000 for all three, and Ján Sk 4,000 for all three. How much money will each of them pay ea - In the new In the new television show, a competition was announced for the funniest logo of the show. A total amount of CZK 13,300 was determined for the three winners: the amount will be divided so that the second prize is two-thirds of the first prize and the thir
- Three Classes in School
There are a total of 47 pupils in three classes in the rural school. There are 20% more pupils in the first grade than in the second grade and one pupil less in the third grade than in the second grade. How many students are there in each class? - Two Cyclists Average Speed
Two cyclists rode from Prague to Poděbrady. Determine the average speed of each of them if you know that they traveled 56 km and that the slower one lost two kilometers to the faster one every hour so that he arrived in Poděbrady 30 minutes later. - Solid cuboid
A solid cuboid has a volume of 40 cm³. The cuboid has a total surface area of 100 cm squared. One edge of the cuboid has a length of 2 cm. Find the length of a diagonal of the cuboid. Give your answer correct to 3 sig. Fig. - Concert Ticket Prices
A total of 256 tickets were sold for the concert. CZK 2,800 was collected for tickets under the stage, and CZK 2,160 for tickets to the corridors. Determine the price of tickets under the stage and on the corridors, if you know that the ticket under the p - Fish Drink Price Problem
Five boxes of fish and three bottles of drink cost 276 CZK, three boxes of fish and two bottles of drink cost 176 CZK, and two boxes of fish and one drink bottle cost 176 CZK. Thus, we pay 276 CZK for two boxes of fish and one drink bottle. - Cyclist Meeting Time At 9 o'clock, the pedestrian climbed at an average speed of 5 km/h, and 3 hours later, a cyclist followed him at 12 km/h. Determine what time they will meet.
- Circumference of a triangle
The circumference of the triangle is 104 cm. One side is 6 cm longer and 8 cm shorter than the third. Find the lengths of its sides. - Remaining
Aladár promised his mother that he would wash the plates. In order not to get too tired, he divided the work into four stages. First, he washed one quarter of all the plates. After a short rest, he washed one sixth of all the plates. After a long rest, he - Worker hours
One worker makes 15 parts per hour, the other 12, and the third 10. How many hours did each work when they worked together for 15 hours?
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