System of equations - high school - practice problems - page 6 of 45
Number of problems found: 882
- Construction 71794
Two different trucks together would bring the construction material in 6 hours. However, after 4 hours, the first car was transferred to another job, and the second one was driven for another 6 hours. How many hours would it take for the first car to deli - Two alloys
Two alloys, Y and Z, are each made up of zinc, tin, and copper. In alloy Y, the ratio of zinc to tin is 2:5, and the ratio of copper to tin is 4:3. Find the ratio of copper:zinc:tin in alloy Y. - Apples and bananas
If you pay $11 for one apple and nine bananas and $7 for three apples and one banana, how much do an apple and banana cost? - Individual 70944
The merchant ordered 62 boxes of cucumbers from a vegetable grower. He wants to take 38 more boxes than small ones. How many individual boxes of cucumbers did the merchant order?
- Shopping trips
Luke bought some fresh produce. He picked up two oranges and three bananas. The cost of Luke's shopping was $18. Georgia also went to the same shop and bought five oranges and seven bananas. The cost of Georgia's shopping was $44. Write and solve a system - Fertilizer mixture
A fruit company uses two types of fertilizers in an orange grove, brand A and brand B. each bag of brand A contains 8 pounds of nitrogen and 4 pounds of phosphoric acid. Each bag of brand B contains 7 pounds of nitrogen and 6 pounds of phosphoric acid. Th - Calculate 70634
The axial section of the cylinder is a rectangle with a diagonal of u = 20 cm. The height of the cylinder is twice the diameter of the base. Calculate the cylinder volume in liters. - Together 70014
Matej and Anton are 44 years old together. Matej is twice as old as Anton was when Matej was half as old as Anton will be when Anton is 3 times older than Matej was when Matej was 3 times as old as Anton. - Consecutive 69904
The three numbers that make three consecutive members of an arithmetic sequence have a sum of 60 and a product of 7500. Find these numbers.
- Kilograms 69724
The hardware store sold 1 kg of nails for CZK 400 and 1 kg of screws for CZK 800. How many kilograms of nails and how many screws did they sell if they sold a total of 5 kilograms and earned CZK 3,200. - Number 69614
The house has two floors. Men and women live on each floor in such a number that their ratio is 3:2 on each floor. Five more people live on the second floor than on the first floor. How many women live on the second floor? - Granddaughters' 69604
Grandma bought 200 ingredients. Granddaughter Lenka planted 20% more than granddaughter Danka. Granddaughter Eva planted 40 more seedlings than Danka. Granddaughter Zuzka planted 0.8 times more than Danka. How many seedlings did each of the granddaughters - Distance 69524
The length of the Odra in Moravia is 42% of its length in Poland. The total flow length from the source to the sea is 1165 km. What is the distance in Moravia, and what is the distance in km on the Polish side? - Susan 2
Susan packed some sugar into small and large packets. The total mass of 4 large packets and three small packets is 43 kg. Each large packet is 2kg heavier than each small packet. What is the mass of a large packet of sugar?
- (respectively) 67854
An alloy of copper and lead is a mixture of these metals in a ratio of 5: 2 (respectively). Calculate in kg how much a piece of this alloy weighs if it contains just 150 kg less lead than copper. - (cashews/beetroots) 66984
The lady sells nuts. It has two mixtures of nuts (cashews/beetroots) in a ratio of 2:1 and 1:3 (cashews and peanuts). Determine the ratio to mix both mixtures so that the ratio of cashews/beetroot in the resulting mixture is 1:2. (Please provide a certifi - Students
The 7th grade has 195 students. There are 25 more girls than boys in the grade. How many more boys are in the 7th grade? - Participants 66454
The department consists of 80 children and adults. The camp cost them a total of 116,400 CZK. Each child paid 1200 CZK and each adult 1800 CZK. How many adult participants were there, how much did the children pay for the camp, and who paid more money for - Perimeter 66414
The perimeter of triangle ABC is 162 dm. The lengths of its sides are in the ratios a:b = 2:3 and a:c = 8:7. Determine the lengths of the sides of the triangle.
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