System of equations - math word problems - page 48 of 107
Number of problems found: 2130
- 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. - 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
Marek rode a bike ride. In an hour, John followed him on the same route by car at an average speed of 72 km/h, and in 20 minutes, he drove him. Will he determine the length Marek took before John caught up with him, and at what speed did Marek drive? - 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. - Three-day trip
On a three-day trip, cyclists traveled 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. Thus, cyclists traveled 30% of the total route on the first day, 3/5 of the rest on the second day, and 35 km on - 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? - Dividing money
Vilem, Cenek, and Edita divided the money they earned by spreading the leaflet. Vilem got 240 CZK more than Cenek and twice as much as Edita. Edita got 400kc less than Vilem. How much did each of them earn? - Mayor voting calculation
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 - Linear system solving
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 - Sports club
A sports club was purchasing new equipment. It bought three identical soccer balls and five identical volleyball balls. It spent a total of 4480 CZK on the balls, with the soccer ball being 320 CZK more expensive than the volleyball. Determine how much th - 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. - Two pen
Two pens and one notebook costs $56. One pen costs 1/5 of one notebook. How much is one notebook? - Age problems
A) Alex is three times as old as he was two years ago. How old is he now? b) Three years ago, Casey was twice as old as his sister. Now, he is five years older. How old is Casey? c) Jessica is four years younger than Jennifer now. In 10 years, Jessica wil - Five number operations
For five whole numbers, if we add one to the first, multiply the second by the second, subtract three from the third, multiply the fourth by four, and divide the fifth by five, we get the same result each time. Find all five of the numbers that add up to
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