System of equations - math word problems - page 17 of 110
Number of problems found: 2182
- Pear apple trees
A total of 18 pear and apple trees grow in the set. Pears are 2 times less than apple trees. How many pears and apple trees are there? - Grandmother grandson age
The grandmother is 4 times as old than the grandson. In 7 years, it will be only 3 times. How old is grandma? - From city 2
A passenger train left city A for city B in the morning. At the same time, a freight train left city B for city A along the same track. Both trains travelled the entire route at constant speeds. They passed each other on the track at 9:45 a.m. The passeng - Bus speed distance
A bus travels between places A and B. If it increases its average speed by 5 km/h, the travel time will be reduced by 20 minutes. If he reduces his original speed by 4 km/h, the driving time is increased by 20 minutes. What is the average speed of the bus - Number factor product
The product of two numbers we know. If we increase the first factor by 2 and decrease the second factor by two, the product increases by 4. How much does the product change if we decrease the first factor by 3 and increase the second factor by 3? - Glass box packing
The merchant ordered 200 glasses, and the order was confirmed with the fact that he will receive 41 in rabic, packed in 4 and 6 pieces. How many boxes of 4 and how many boxes of 6? - Adam Fero money
Adam had 3 times more than Frank. Gabo is 11 less than Frank. They had a total of 59 euros. How much did each have? - Pipe repair days
They spent three days repairing the damaged pipe, 115 m long. On the first day, they repaired a quarter of what they did on the second day, and on the third day, they repaired 20 m less than on the second day. How many m of pipe did they repair on the fir - Number percentage ratio
The first number is 50% of the second, the second number is 40% of the third, and the third number is 20% of the fourth. The sum of the numbers is 396. Which numbers are these?? - Average of average
Three different numbers are given. The average of the average of two smaller numbers and the average of the two larger numbers is equal to the average of all three numbers. The average of the smallest and largest number is 2022. Determine the sum of the t - Farm animal legs
There are cows, ducks, and geese on the farm. They have a total of 126 legs. Ducks are 3 more than houses. And there are 20 cows. If we count all the animals, we have to divide them by the number three, and we should get a single-digit number. - Strawberries - shop
Mom and grandma went shopping at the market. Mom bought 2 kg of strawberries and 3 liters of blueberries and paid 250 CZK. Grandma bought 1 kg more strawberries and 0.5 l fewer blueberries than mom and paid 45 CZK more than her. How much did 1 kg of straw - Paper collection classes
Three 9th-grade classes participated in the paper collection competition. The company bought 1 kilogram of paper for €0.12, and the school received €174 thanks to their hard work. Calculate how many kg of paper 9 A collected if you know that she collected - The ratio 9
The ratio of the present age of Raul and Rohit is 5:7. Four years ago, Rohit age is 12 more than Raul's age. Then find their present age. - A shopkeeper 5
A shopkeeper sold some sets of Pencils and Pens. Each set contained 6 pencils and 2 pens. If the shopkeeper sold 112 pencils and pens, how many pens did she sell altogether? - Dream market equivalence
At the dream market, she offered the Sphinx to a traveler for four dreams, seven illusions, two naps, and one nightmare. Another has seven dreams, four illusions, four naps, and two nightmares. The Sphinx always measures the same for all travelers. How ma - 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
Mike 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 Mike 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.)
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