System of equations - math word problems - page 17 of 107
Number of problems found: 2130
- Master apprentice products
The master produced a quarter more products than one of his apprentices. Together they produced 45 products. How many products did the apprentice make, and how many did the master make? - Aquarium fish distribution
Mirko has a total of 137 fish in three aquariums. He has 19 more fish in the largest aquarium than in the medium. There are 5 fewer fish in the smallest than in the middle one. How many fish does Mirko have in the smallest aquarium? - Parabola point equation
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2] - Integer part system
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Club football tennis
The sports club has 302 members. Ten times more members play soccer than tennis. Just one of the sports (F and T) is played by 222 members. Eighty-two members do not play football. How many members of the club play football? How many members play tennis? - Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x? - The sum 28
The sum of the age of a girl and her mother is 38. Next year the mother will be four times as old as her daughter. How old was the mother when her daughter was born? - The ages 2 The ages of the two persons differ by 18 years. Twelve years ago, the elder one was 4 times as old as, the younger one. The present age of the elder one is:
- FX parabola Determine the equation of the parabola going through the following co-ordinates (1;2), (-1;-2), and (2;7)
- Sheep white black
Forty sheep graze in the meadow. There are 4 times more whites than blacks. How many white and how many black sheep are grazing in the meadow? - The sum 26 The sum of Anna and Ina's ages is 19. In 4 years, Anna will be twice as old as Ina. What are their ages now?
- Two numbers sum and product
Two numbers have a sum of 12 and a product of 27. What is the larger number? - Sum of 24 The sum of the two numbers is 95. If one exceeds the other by 15, find the numbers.
- Two numbers 13 Two numbers are in the ratio 5:8. When 2 is added to each, the ratio of the resulting numbers is 2:3. Find the numbers.
- The sum 24
The sum of the three numbers is 80. The first number is 8 less than the third. The second number is 2 times the third. What are the numbers? - An archer
An archer stands 60 meters (m) from a target. She launches an arrow that lands 3 centimeters (cm) from the bull's eye. The archer changes her position to 40 m from the target, and her next arrow lands 2 cm from the bull's eye. She changes her position to - School boy girl
The school has 275 pupils, and there are fifth more boys than girls. How many girls are there in the school? - Tennis ball parabola
In a tennis match, Adrien is 5 m from the net when he hits a ball 80 cm off the ground. The maximum height of its parabolic path passing through the net was 1.5 m. If the length of the court is 23.77 m, will the ball land inside the court? - Parallelogram - sides
A parallelogram has a perimeter of 30 cm and heights of 10 cm and 6 cm. Find the lengths of its sides. - Find k
Find k so that the terms k-3, k+1, and 4k-2 form a geometric sequence. Show your solution.
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