System of equations - math word problems - page 56 of 107
Number of problems found: 2130
- Father and daughter
When I was 11, my father was 35 years old. Now, my father is three times older than me. How old is she? - Angle at the apex
In an isosceles triangle, the angle at the apex is 30° greater than the angle at the base. How big are the internal angles? - Fruit crate weight
The fruit crate is seven times heavier than an empty crate. A full crate weighs 30 kg more than an empty one. How many kg does an empty crate weigh? - Movie Viewers Three Days
In three days, 3960 viewers saw the film. How many viewers watched the movie each day if we know: the second day saw 20% more viewers than the first day and the third 20% less than the first and second together. - Diluting Alcohol to Percentage
We want to prepare 200g of 64% alcohol. We have enough 80% alcohol to dilute with water. How much 80% of alcohol and water will we need? - Triangle side calculation The triangle has a circumference of 35 cm. One side is four times longer than the other and, at the same time, 1 cm longer than the third. Determine the sides of the triangle.
- Cottage room occupation
Triple and quadruple rooms are available in the cottage for 30 children. Rooms are occupied so that all beds are always occupied. Determine how many rooms the children will occupy in total if there are four times as many children in the four-bedroom rooms - Block Edges from Volume
The block volume is 900 cm3, and the surface is 600 cm². The area of one wall is 60 cm². Calculate the length of edges a, b, and c. - Chickens and hares
There were chickens and hares in the yard. Together they had 22 heads and 54 legs. How many hens were there in the yard? - CD DVD shelf
Juraj had music CDs and DVDs stored on the shelves. There are a total of 64. How many DVDs are on the shelf if there are seven times less than a CD? - Two number sum
The sum of the two numbers is 46. It holds that two times the first is one greater than three-fifths of the second. What are the numbers? - Grandfather Son Grandson Ages
My grandfather says, "My son and I are 100 years old, my son and my grandson are 62 years old, and my grandson and I are 80 years old together." How old is your grandfather? - Rectangle Diagonal Length
The sides of the rectangle are in a ratio of 3:5. Its circumference is 48 cm. Calculate the length of its diagonal. - Savings Spent Money Left
Jana and Dana have saved 220 crowns together. Jana spent a fifth of her savings, and Dana spent a quarter. Then, they had a total of CZK 150 left. How much have they saved? - Two cities
The car goes from city A to city B at an average speed of 70 km/h and back at an average speed of 50 km/h. If it goes to B and back at an average speed of 60 km/h, the whole ride will take 8 minutes less. What is the distance between cities A and B? - Heating Liquid Graph Analysis
Colorless liquid weighing m = 200 g is heated with constant stirring on a stove with power input P0 = 600W. 80% of the supplied energy is used to heat the liquid. Selected measured values of liquid temperature as a function of time are recorded in the t - Quadrilateral Interior Angles
For the sizes of the interior angles of the quadrilateral ABCD, the following applies: the angle alpha is 26° greater than the angle beta, twice the angle Beta is 5° less than the angle gamma, and the angle gamma is 36° greater than the angle delta. Deter - Cyclist Round Trip Distance
At eight in the morning, a cyclist went from city K to city L. He stayed in city L for 4.25 hours and returned home at 3:00 p.m. Calculate the distance between cities K and L if the cyclist traveled to city L at a speed of 12 km/h and from city L to city - Three Consecutive Integers Sum
The sum of three consecutive integers equals three times the middle number. Specify these numbers. - Pupils
There are 32 pupils in the classroom, and girls are two-thirds more than boys. a) How many percent are more girls than boys? Round the result to a whole percentage. b) How many boys are in the class? c) Find the ratio of boys and girls in the class. Write
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