System of equations - high school - practice problems - page 11 of 44
Number of problems found: 876
- Together 20433
Pavel received half as much money from his parents as Petr and Milan and half as much as Pavel. How much did all the boys get together? The parents gave Milan CZK 1,350. - Adding
Divide number 135 into two additions so that one adds 30 more than 2/5 of the other. Write the bigger one. - Together 8293
Shrek and Fiona together weigh 201 kg. And Shrek is two times heavier than Fiona. How much does Shrek weigh? - Rotating 7947
In the rotating cone = 100π S rotating cone = 90π v =? r =? - Accommodated 6906
Tourists are accommodated in three hotels. There are eight more tourists in the second hotel than in the first. In the third hotel are 14 more than in the second. How many tourists stayed in each hotel if there were 258 in total? - Simultaneously 6563
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 - Together 4521
Husband and wife earn 6600 euros together. The husband earns 20% more than the wife. What is the wife's income? - Determine 3837
Alena, Andrej, and Juraj have a total of 74 nuts. Alena has 45% more nuts than Andrej, and Juraj has 5 more nuts than Andrej. Determine how many nuts Alena, Juraj, and Andrej have. - Quarter 3106
In the orchard, there were 46 more apple trees than pears. The storm upset a quarter of apple trees and seven pears; however, there were still 80 trees left. How many were apple trees and how many pears in the garden? - Daughter 2849
Dad, mom, and daughter are 100 years old. A father is four times as old as a daughter. Mom is ten years older than half the father and daughter. How old are they? - Numbers 2832
The sum of two numbers equals 840. The first number makes up 40% of the second number. Specify both numbers. - Tailor's 40591
The tailor's salon bought 130 meters of fabric for € 1,037. The meter of the first fabric costs € 8.90, and the meter of the second fabric costs € 7.40. Thus, they bought 130 meters of fabric for € 1,037. - Species 8368
20 books for 262 euros One species for 11.60 euros Two species for 13.60 euros how many books to buy for 11.6O euros and how many for 13.6O euros - Find all 2
Find all the complex solutions (write the answer in the form x+iy) of the system. {|z-12|/|z-8i|=5/3 ; |z-4|=|z-8| - In a GP 72+144
In a GP, the sum of the 2nd and fifth terms is 72, and the sum of the 3rd and 6th terms is 144. Find the common ratio, find the first term, and find the sum of the first six terms - The same book
Alexander and Blanka bought the same book that had 240 pages. Blanka read four pages more a day than Alexander. Blanka read it before Alexander. Alexander read the book both weekend days longer. Using an equation or system of equations, calculate how many - Angle at the apex
In an isosceles triangle, the angle at the apex is 30° greater than the angle at the base. How big are the internal angles? - Three workshops
2743 people are working in three workshops. In the second workshop works, 140 people more than in the first and in the third works 4.2 times more than the second one. How many people work in each workshop? - Rectangle
The rectangle has a perimeter of 75 cm. The diagonal length is 32.5 cm. Determine the length of the sides. - Nuts
Peter has 49 nuts. Walnuts have three more than hazelnuts and hazelnut two over almonds. Determine the number of walnuts, almonds, and hazelnuts.
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