System of equations - 7th grade (12y) - math problems

Number of problems found: 180

Half of 2
Half of Ethan’s string is equal to 2/3 of Kayla’s string. The total length of their strings is 10 feet. How much longer is Ethan’s string than Kayla’s?
You must
You must level a rooftop unit on the curb with shims. If you need to shim the unit 13/16” on one side, how many shims will be required if he is given 1/8” and 1/16” shims? Use 10 shims exactly.
Louis
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 5,120 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement?
Christmas or Easter
Please calculate this example by the Venn equation. They asked 73 students whether they like Christmas or Easter. 34 of them like one of the holidays. 39 loves Easter. There are twice as many students who wish both holidays as those who only love Easter.
Dividing money
Vilem, Cenek, and Edita divided the money they earned by spreading the leaflet. Vilem got 240 CZK more than Cenek and twice more than Edita. Edita got 400kc less than Vilem.
Age question
Jano is three times older than Zdeno. Zdeno is 12 years younger than Janko. How old is Jano, and how old is Zdeno?
Flowerbed
Ondra digs the bed in 20 minutes. Cuba in 30 minutes. For how long do they dig together?
Isosceles triangle
In an isosceles triangle, the arm's length and the length of the base are in ratio 3 to 5. What is the length of the arm?
Watching TV
One evening 2/3 of students watch TV. Of those students, 3/8 watched a reality show. Of the students that watched the show, 1/4 of them recorded it. What fraction of the students watched and recorded reality tv.
Supplementary angles
One of the supplementary angles is larger by 33° than the second one. Calculate the angles size.
Gasoline tank 2
A gasoline tank is 1/6 full. When 25 liters of gasoline were added, it became 3/4 full. How many liters are more needed to fill them? Show your solution.
Summer camp
84 children spent their holidays at the summer camp. There were 8 fewer boys than girls. What percentage were boys and what percentage were girls?
The tourist
The tourist came started from the hostel at an average speed of 5km/h. Half an hour later, the bicyclist started along the same route at a speed of 20km/h. How many minutes will a cyclist catch up and how many kilometers will he go?
Grandfather and grandmother
The old mother is 5 years younger than the old father. Together they are 153 years old. How many years has each of them?
Two trains
There were 159 freight wagons on the railway station creating 2 trains. One had 15 more wagons than the other. How many wagons did each train have?
Unknown numbers
The sum of two consecutive natural numbers and their triple is 92. Find these numbers.
Simple equations
Solve system of equations: 5x+3y=5 5x+7y=25
Boys and girls
There are 48 children in the sports club, boys are 10 more than girls. How many girls go to the club?
Odd numbers
The sum of four consecutive odd numbers is 1048. Find those numbers ...
Testing
Students of high school have 10 points for each good solved task. The wrong answer is deducted by 5 points. After solving 20 tasks, student Michael had 80 points. How many tasks did he solve correctly and how many wrong?