System of equations - math word problems - page 69 of 103
Number of problems found: 2041
- Wine
A bottle of wine costs 21 euros, and wine is 20 times more expensive than a bottle. How much does a bottle cost? - Adam and Ben
When Ben is so many years old to Adam today, Adam will be 23 years old. When Adam was as old as Ben, Ben was two years old. How old are you today, Ben and Adam? - Three granaries
Three granaries hold 7,800 metric cents (q) of grain. In the first, 70 tonnes of grain was more than the second, and in the third, it was 120 tonnes less than in the second. How many grains were in each granary? - Calculate 5148
At a distance of 10 m from the river bank, they measured the base AB = 50 m parallel to the bank. Point C on the other bank of the river is visible from point A at an angle of 32°30' and from point B at an angle of 42°15'. Calculate the width of the river
- Arithmetic progression
In some arithmetic progression applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d =. - Direction 5122
At 7 o'clock, a truck drove from Olomouc towards Hradec Králové at an average 40 km/h speed. A passenger car left Hradec Králové, 210 km from Olomouc, in 7 hours 45 minutes with an average speed of 80 km/h. At what time and how far from Olomouc will they - Determine 5117
Determine x, y: x + y = 10 x: y = 10 - Krkonose CZ
Tourist's rod on the tourist route in the Krkonose was 1/5 of its length into the ground. Snow fell in winter, and 1/3 of the length of the rod remained above the snow. The length of the part above the snow is 32 cm greater than in the ground. Find the he - Champion 5098
Compare the odds of pairs of events. A) Slovakia will be the world champion in ice hockey 2 times in a row. B) You will write all the papers this year with at least a double. C) In two years, humans will be on Mars. D) Someone in your class will write all
- Circumference 5082
The rectangle is 20 percent longer than the length. Its circumference is 22 cm. What are the sides of a rectangle? - The barrel
The barrel is 135 cm high. If we fill it to a height of 60 cm, it weighs 163 kg. If we fill it to a height of 80 cm, it weighs 213 kg. How many kilograms weigh a full and how many empty barrels? - Equations 5070
Solve in RxRxR a system of 3 linear equations with three unknowns: 1/2 x + 3/4 y = 6z 2x-z = 10 1/2 2z + x = 2y + 7 note: / is a fraction line - Three shapes
1/5 of a circle is shaded. The area's ratio of a square and the sum of a| rectangle and the circle is 1:2. 60% of the square is shaded, and 1/3 of the rectangle is shaded. What is the ratio of the area of the circle to that of the rectangle? - Guess a fraction
Tom was asked to guess a fraction. The sum of 1/2 of the numerator and 1/3 of its denominator is 30. If Tom subtracts 36 from its denominator, the fraction becomes 1/3. What is the fraction that Tom was asked to guess? (Leave your answer in the simplest f
- Performance 5041
Three workers received a reward of €2,850 for their work. They divided them according to their performance so that the first received 20% less than the second and the third received €50 more than the second. How many euros did each person receive? - Expensive 5040
The auto parts store received a shipment of 30 pieces of motor oil for €396. More expensive oil costs €15, cheaper €12. How many amounts of more expensive and cheaper oil were in the shipment? - Regularly 5036
Out of 129 1st-year students, 116 students go to lunch or dinner regularly, and 62 students go to one of these meals at most. At the same time, 47 students go to lunch more than to dinner. How many students go to lunch and dinner, how many go to dinner, a - Crown coins
Jana saves two-crown and five-crown coins. She has 32 coins in the cashier. How many two crowns and how many five crowns would she have if she saved 145 crowns? - Trees - orchard
The 3/5 trees are apple trees, and 1/3 of the trees are cherries. The remaining five trees are pear trees. How many trees are in the orchard?
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