System of equations - math word problems - page 22 of 107
Number of problems found: 2130
- Class girl count
Girls are 12 more than boys, and boys represent 30% of all students. Find how many girls are in the class. - Triples
The triplets Jana, Jan, and Jitka have saved a total of 180 CZK. Jana has saved three times as much as each of her two siblings. Jitka and Jan have saved the same amount. a) Determine the ratio of the amounts saved by all three siblings in the order Jan, - From peanuts
From peanuts priced at 160 CZK/kg and almonds priced at 200 CZK/kg, 20 kg of a nut mixture priced at 190 CZK/kg is to be prepared. The price of the mixture is determined by the ratio in which the nuts are mixed. a) Determine how many kilograms of each typ - Alloy Cu+Pb
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. - Relative motion
The boat moves along the river at a speed of v1 = 5km/h and upstream v2 = 2km/h What is the current P's and boat L's speed relative to the water? - Peter Pavel age
Peter was twice as old as Pavel. 4 years ago, Petr was three times older than Pavel. How old are they now? - Temperature linear fit
At 2:00 a.m., the temperature was -7°F. At noon the temperature was 18°F. What expression represents the increase in temperature? - Cashews + beetroots
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 - Children carnival tickets
A carnival is organized in the village. The ratio of the price of one child ticket to the price of one adult ticket is 3:4 (in that order). Two children's tickets and three tickets for an adult cost a total of 270 Sk. How much will 2 adults and 3 children - 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?
- Eighth ninth graders The number of eighth graders in primary school is 80 percent of the number of ninth graders. There are 54 eighths and ninths. How many ninth-graders go to this school?
- Tourist bench seating
Benches were prepared around the fire. When seven tourists sit on them, one tourist will sit alone on the last bench. When six of them all sat down, one had to stand. How many tourists were at the campfire if we know there were less than 100, and how many - Camp cost distribution 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
- Triangle perimeter ratio
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. - Petra book pages
If Petra read four pages more a day, she would read the book two days earlier than if she read six pages a day. How many pages does the book have? - Trapezoid perimeter base
The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the circumference of the trapezoid. - Number summand ratio
Divide the number 6 into three summands x, y, z so that x: y = 4:3, y: z = 1:2. - Triangle perimeter sides
The circumference of the triangle is 125 cm. The shortest side is 12 cm shorter than the longest side. The longest side is 7 cm longer than the middle side. How long is the middle side? - Trapezoid base ratio In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm².
- Workshop order days
In the first workshop, there are 3 workers; in the second workshop, 2 work equally efficiently. They worked on the order together, and for the last 2 days, only workers from the first workshop. If only the first workshop were working, the order would be c
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