System of equations - math word problems - page 13 of 110
Number of problems found: 2182
- Investment
An investment advisor has at his disposal two types of investments for clients: conservative investment A, which provides an annual return of 8%, and riskier investment B with an annual return of 24%. The client can distribute his investment between the t - Rectangle perimeter ratio
The sides of the rectangle are in the ratio of 5 : 8. Its perimeter measures 208 cm. Determine the area of this rectangle. - Number sum puzzle
I think of three numbers. When I add them, I get 15. When I subtract the third number from the sum of the first two numbers, I get 10. When I subtract the second number from the sum of the first and third numbers, I get 8. What number do I think? - Seller 3
A seller wanted to sell 100 cheaper and 50 more expensive mobile phones. The price difference between a cheaper and a more expensive mobile is 30 euros. Originally he wanted to sell each cheaper one at a 20% discount and each more expensive one at a 12% d - Class boy girl
If 3 boys were added to the eighth grade, 50% of the class would be boys. If, on the other hand, 3 girls were added, they would make up 7/12 classes. How many children are there in the class? - Triangle perimeter area
What are the sides of a right-angled triangle with a perimeter of 45 centimeters and a volume of 67.5 cm²? - Scout troop increase
Last year, there were 30 more boys than girls in our scout troop. This year, the number of children in the ward increased by 10%, while the number of boys increased by 5% and the number of girls increased by 20%. How many children do we have in the depart - Car showroom 2
A car showroom sells cars - several brands. Over the past month, 61 vehicles in total were sold. Cars equipped with air conditioning were sold three times more than cars of the Škoda brand. Škoda cars which were not equipped with air conditioning were sol - Stamp purchase count
The company secretary bought stamps worth CZK 20 and CZK 15. The total number of purchased stamps is 120, and the secretary paid a total of 2265 CZK. How many stamps worth 15 CZK did she buy? - Number sum subtraction I think of three numbers; when I add them, I get 16; when I subtract the third from the sum of the first two numbers, I get 10; when I subtract the second from the sum of the first and third numbers, I get 8. Which numbers do I think?
- Number percentage sum 5% of the first and 4% of the second numbers add up to 46. 4% of the first and 5% of the second numbers add up to 44. What are the numbers?
- Ship boiler age
The ship and boiler are 49 years old. The ship is twice as old as the boiler was when the ship was as old as the boiler is now. How old is the ship? - Third unknown number The number A is 5 more than the number C and 10 less than the number B. The sum of A+B=100. What is the C number?
- Isosceles triangle angles
Determine the size of the interior angles in an isosceles triangle if you know that the angle opposite the base is 15° greater than the angles at the base. - Father son age
The father is five times older than the son. The father will be twice as old as the son in fifteen years. How old is Dad now? - Scalar products
The vectors a = (3, -2), b = (-1, 5) are given. Determine the vector c for which a. c = 17; b . c = 3 - Worker reward division
The reward of CZK 4,220 was divided among 3 workers in such a way that the second received CZK 400 more than the first, and the third received 30% more than the second. How much did each get? - Forester sapling planting
Foresters planted 2,440 saplings in three days. On the second day, they planted 20% more saplings than on the first day, and on the third day, 15% less than on the first day. How many saplings did the foresters plant each day? - Arithmetic geometric sequence
Determine four numbers so that the first three form the successive three terms of an arithmetic sequence with difference d=-3 and the last three form the next terms of a geometric sequence with quotient q=one half. - Ema picture cards
Ema has 3 times more picture cards in her collection than Dana. They have a total of 240 images. They are bought in packs of 10 for CZK 14. How much did Dana's pictures cost?
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