System of equations - math word problems - page 43 of 110
Number of problems found: 2182
- Triangle side ratio
A triangle with sides a, b, and c whose perimeter is 26 cm is true: ratio a:b is 4:3, and ratio b:c is 1:2. Find the lengths of the sides of this triangle. - In the classroom
There are 30 boys and a few girls in the class. In the six months, 28 boys and all girls benefited, which was 95% of all pupils. How many pupils are there in the classroom? - Bent scale
Monica weighed 52 kg. Sara 54 kg. Together they weighed 111 kg. They noticed that the needle on the scale was bent. How much did they really weigh? - Grain harvest calculation
The cooperative farmers harvested 300 tons of grain. Wheat was 25% more than oats, and rye was 96 tons less than wheat and oats combined. How many tons of wheat, rye, and oats did the cooperative harvest? - Tree ratio calculation
There are pears, apples, and cherries in the alley. There are a total of 1,075 trees. Pear is twice as much as apple, and cherry is 30% more than apple. How many trees are there? - Arithmetic sequence calculation
Calculate in arithmetic sequence a1, d, s7, if: a1 + a4 + a6 = 71 a5 - a3 - a2 = 2 Hint: Use the substitution method when solving the system. Pay due attention to the "minus" signs in the second equation of the system. - Block or cuboid
The wall diagonals of the block have sizes of √29 cm, √34 cm, and √13 cm. Calculate the surface and volume of the block. - Birthday age calculation
Jan and Alice have a birthday today. Jan is five years younger than Alice. Ten years ago, they were a total of 65 years old. How old is Jan today? - Solution mixing calculation
How many grams of 80% solution and 55% solution do we need to mix to obtain 100 grams of 60% solution? - Machine tool transport
They were to dispatch and transport 35 machine tools of two types with a total weight of 16.54 tons from the plant. The machine of the first type weighed 420 kg. The second was 80 kilograms heavier. How many machines of the first and second kind did they - Vector perpendicular
Find the vector a = (2, y, z) so that a⊥ b and a ⊥ c where b = (-1, 4, 2) and c = (3, -3, -1) - Football goal calculation
During the football season, Adam scored 23 goals more than Brandon, and Brandon scored 16 goals less than Carl. Edo scored 6 goals more than Dustin. Carl gave 5 more than Edo. Brandon and Edo scored 17 goals together. How many goals did each boy score, an - Average speed
The average speed of a good cyclist is 30 km/h. The average speed of the less able is 20 km/h. They both set off on the same route at the same time. A good cyclist drove it 2 hours earlier. How long was the route? - Bus people distribution
There are 39 people on the bus. There are 11 more adults than children. How many children are on the bus, and how many adults? - Sibling savings calculation
Two siblings, Eve and Peter, saved a total of 228 CZK. Eve saved three times more than Peter. How much did each of them save? - Exhibition visitor calculation
During 3 days, 2870 people went to the exhibition. On the second day, 140 more people came to the exhibition than on the first day. On the 3rd day, there were 1.5 times more people at the exhibition than on the second day. How many people visited the exhi - The bakery
The bakery delivered 60 kg of bread to the store. The bread weighed 1 kg and 2 kg, a total of 35 pieces. How many loaves weighed 1 kg, and how many were two-kilo loaves? - Backpack color distribution
They have two types of backpacks in the store. Blue is for 160 CZK, and red is for 180 CZK. They have 24 backpacks with a total value of CZK 4,120. How many blue and red backpacks do they have? - Trapezoid angle calculation
In the ABCD trapezoid: | AD | = | CD | = | BC | a | AB | = | AC |. Determine the size of the delta angle. - Trip distance calculation
The Macháček family went on a 3-day trip to Třeboň. They didn't want to get too tired but wanted to see a lot. Therefore, they drove at a walking pace, and at the end of the 3rd day, they measured 90 km on the speedometer. On the second day, they traveled
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