System of equations - math word problems - page 49 of 110
Number of problems found: 2182
- Rectangle field
The field has the shape of a rectangle, having a length of 119 m and a width of 19 m. How many meters have to be shortened in length and increased in width to maintain its area and circumference by 24 m? - Three parallels
The vertices of an equilateral triangle lie on three different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle. - An animal shelter
An animal shelter costs $5.50 per day to care for each bird and $8.50 per day for each cat. On Wednesday, Nicole noticed the shelter spent $283.00 caring for birds and cats. Nicole found a record showing a total of 40 birds and cats on Wednesday. How many - Flowerbed
We enlarged the circular flower bed, increasing its radius by 3 m. The substrate consumption per enlarged flower bed was nine times greater than before (at the same layer height as before magnification). Determine the original flowerbed radius. - Silage cattle calculation
According to the plan, the cooperative secured 210 tons of silage for the winter. However, it then bought 10 heads of cattle, so it was necessary to reduce the amount of silage by half a ton per head. How many tons of silage did the cooperative initially - Sides of right angled triangle
One leg is 1 m shorter than the hypotenuse, and the second leg is 2 m shorter than the hypotenuse. Find the lengths of all sides of the right-angled triangle. - Cost reduction
Fourteen pieces of goods cost just as much as 21 pieces before the discount. The price of one piece after the discount is CZK 1.50 lower than before the price reduction. How much was one piece before the discount? - Bus catching calculation
Mr. Pozdechodim missed the bus at 10.05. At 10.10, he passed Jindra. The bus travels at an average speed of 60 km/h and Jindra at 80 km/h. Will they catch the bus, which is 20 km from the next stop? - Car meeting calculation
At midnight, a 40 km/h truck will leave České Budějovice for Turnov. At 1.5 hours after midnight, a 70 km/h car drove against him. The distance between České Budějovice and Trutnov is 223 km. At what time and how far from Trutnov will the two cars meet? - Kilograms of melons
The three melons weigh a total of 18 1/2 kg. The first weighs 1 1/4 kg more than the second and 2 3/4 kilograms more than the third. How much do melons weigh in kilograms? - Zebra ostrich legs
The ZOO has the same number of zebras as ostriches. They have a total of 84 legs. How many zebras and how many ostriches do they have at the ZOO? - The escalator
I run up the escalator constantly in the stairs' direction and write down the number of steps A we climbed. Then we turned around, ran it at the same constant speed in the opposite direction, and wrote down the number of steps B that I climbed. If A = 24 - Three points 4
The line passed through three points - see table: x y -6 4 -4 3 -2 2 Write line equation in y=mx+b form. - Friends 5
Erik is friends with two girls, Markéta and Lenka, and two boys, Tomáš and Robo. When his mother wanted to know how old these children are, he told her a riddle: Tomáš is two years older than Robo. The sum of the boys' ages is the same as the sum of the g - Aunt Rose
Aunt Rose gave $2500 to Mani and Cindy. Mani received $500 more than Cindy. How much did Cindy receive? - The sum 4
Robin's total age is 45. Seven years ago, Robin was 16, more than half as old as Bruno then. How old is Bruno? - Faces diagonals
Find the cuboid volume if the cuboid's diagonals are x, y, and z (wall diagonals or three faces). Solve for x=1.6, y=1.8, z=1.6 - Two chords
Calculate the length of chord AB and perpendicular chord BC to the circle if AB is 4 cm from the circle's center and BC 8 cm from the center. - Bike ride
Mark went on a bike ride. One hour later, John followed him on the same route by car at an average speed of 72 km/h and caught up with him after 20 minutes. Determine the distance Mark covered before John caught up with him, and at what speed Mark was rid - The fruit basket
The fruit basket is five times heavier than the empty basket. Filled is 20kg heavier than empty. Determine the weight of the fruit in the basket.
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