System of equations - math word problems - page 14 of 110
Number of problems found: 2182
- Department age groups
The department has 90 members. There are 4 more older adults in the section than younger adults. There are 10 more older pupils than all adults. How many older and younger teenagers and how many older pupils are there in the section? - Athletics
160 students (from grammar schools and technical schools) participated in an athletics competition. The proportion of girls from grammar schools was 50%, and the proportion of girls from technical schools was 10%. Determine how many students were from gra - Arithmetic sequence indices
In which arithmetic sequence is the sum of the first five terms with odd indices equal to 85 and the sum of the first five terms with even indices equal to 100? - Jude section children Three times more boys than girls go to the Jude section. If three more girls started dating, there would be twice as many boys as girls. A) determine how many go to the girls' section B) determine how many children attend the department in total.
- Arithmetic sequence middle An increasing arithmetic sequence has an odd number of terms. The middle term is 302. If we remove the 4 largest terms from the sequence, the middle term will be 296. Determine the difference in the sequence.
- Rectangle dimensions 2
The length of the rectangle is 5 cm greater than its width. Determine the rectangle's dimensions if you know that its perimeter is 22 cm. - Petr card piles
Peter divided 32 playing cards into two piles. He found that one pile had three times as many cards as the other. How many cards were in each pile? - Triangle point coordinates
In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right. - Triangle - perimeter
The perimeter of the triangle is 110 cm. Side a is 6 cm longer than side b and 8 cm shorter than side c. Determine the lengths of the sides of the triangle. - Boxes
In a white box there are only white balls, in a green box there are only green balls, and in a blue box there are only blue balls. There are 12 white balls and 60 blue ones. Into the white box we transfer from the green and from the blue boxes such a numb - Sale of eggs
Mrs. Slepičková sells at the marketplace home eggs in small boxes of 6 pieces and in large boxes of 10 pieces. Over the weekend she sold three times more small boxes than large ones, and at a price of 5 Kč per egg she took in 1680 Kč. For the boxes no pay - Triangle height intersection
Given a triangle ABC: A (-1,3), B(2,-2), C(-4,-3). Determine the coordinates of the intersection of the heights and the coordinates of the intersection of the axes of the sides. - Trapezoid angle sizes
Given a trapezoid ABCD and the sizes of the interior angles. Angle SDC 32° SAD angle 33° SDA angle 77° Angle CBS 29°, where S is the intersection of the diagonals. What is the size of the angle BSA? - Triangle angle determination
In one triangle, one angle is 43°, and the second is 15° less than the third. Determine the unknown angles of the triangle. - School trip graders Sixth, seventh, and eighth graders took part in the school trip. Sixth graders were 5 more than seventh graders, and eighth graders were 3 less than sixth graders. How many sixth graders were on the trip if there were 73 students in total?
- Wreath cream price
Eve paid €8.4 for three wreaths and five creams. Jane paid €15.6 for 9 wreaths and 7 creams. How much will Jane pay for one wreath and one cream? - Quadrilateral angle sizes
In the general quadrilateral ABCD, angle β is 9° greater than angle α, angle γ is 24° greater than angle α, and angle δ is 50° greater than angle β. Determine the sizes of individual angles. - Class boy girl There are 32 children in the class. If there were three more boys and one less girl, there would be an equal number of girls and boys in the class. How many boys are there in the class?
- Pavel Vojta trees
Paul and Victor were planting trees at a forestry work camp. Paul planted two more trees than Victor in each six-hour shift. Together, they planted 156 saplings in three shifts. How many saplings did each of them plant? - Hen goose weight
2 hens weigh 1 kg more than a goose. 3 hens weigh 1 kg more than 2 geese. How much do one hen and one goose weigh? When every goose weighs the same, and every hen weighs the same.
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