System of equations - high school - practice problems - page 18 of 45
Number of problems found: 882
- 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 - Cooperative 11981
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. - Budějovice 11601
At midnight, a 40km/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?
- Faces diagonals
If a cuboid's diagonals are x, y, and z (wall diagonals or three faces), find the cuboid volume. Solve for x=1.3, y=1, z=1.2 - Three-day trip
The cyclist on three-day trip travel 30% of the total route on the first day, 3/5 of the rest on the second day, and 35 km on the third day. How many kilometers did cyclists travel each day, and how many? - Glasses
There are 36 pupils in the class. Nine girls wear glasses. Boys with glasses are five less than girls without glasses. Boys without glasses are two times more than girls without glasses. How many boys and how many girls? - Participating 10481
In a particular village, two candidates ran for mayor. Candidate A was voted for by 70% of all voters, of whom 60% were women. Candidate B was voted for by all other voters and 20% of women from all participating voters. How many men voted for candidate B - Elimination: 10441
Solve the linear system of equations by Gaussian elimination: 3x1 −2x2 −5x3 + x4 = 3 2x1 −3x2 + x3 + 5x4 = −3 x1 + 2x2 −4x4 = −3 x1 - x2 −4x3 + 9x4 = 22
- Divide 8
Divide 6840 by x, y, and z in such a way that x has twice as much as y, who has half as much as z - Brothers and sister
I have four brothers. My mother was 22 years old when the oldest, Matthew, was born. Vlado is a year younger than him. There is a 3-year difference between Vlad and Ivan. Three years before Ivan was born, Hugo and he is two years older than me. I am now 1 - Casey
Casey bought a 15.4-pound turkey and an 11.6-pound ham for thanksgiving and paid $38.51. Her friend Jane bought a 10.2-pound turkey and a 7.3-pound ham from the same store and paid $24.84. Find the cost per pound of turkey and the cost per pound of ham. - Age problems
A) Alex is three times as old as he was two years ago. How old is he now? b) Casey was twice as old as his sister three years ago. Now he is five years older than his sister. How old is Casey? c) Jessica is four years younger than Jennifer now. In 10 year - Camel and water
84% of the camel's weight is water. After drinking, its weight increased to 832 kg, and water accounted for 85% of its weight. How much did it weigh before drinking?
- Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer - Calculate 9701
In the triangle, the side length AB = 6 cm, the height per side c = 5 cm, and the angle BCA = 35°. Calculate sides a b. - Calculate 9571
At 9:00 AM, a car left Zlín in the direction of Brno, 98 km away. At 9:15 AM, a vehicle left Brno in the direction of Zlín and drove at a speed 6 km/h higher than the speed of the car traveling from Zlín. The cars met at 9:45 AM. Calculate the speeds of b - Circumference 9211
The rectangle has a circumference of 30 cm, and its width is 3 cm shorter than its length. What is its area? - Two friends
Two friends on a bicycle rode against each other from two places 49 km apart. The first set off at 8.00 at a speed of 20km/h, the second 12 minutes later at a speed of 25km/h. What time do they meet? How many km will each of them travel since then?
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