Equation + system of equations - practice problems - page 6 of 64
Number of problems found: 1263
- Collection 81826
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? - Arithmetic 81811
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? - Department 81809
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 81808
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's 81776
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. - Divided 81763
Petr divided the 32 playing cards into two piles. He found that one had three times as many cards as the other. How many cards were in each pile? - X-coordinate 81737
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. - Determine 81708
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. - Intersection 81611
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. - Intersection 81594
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? - Determine 81572
In one triangle, one angle is 43°, and the second is 15° less than the third. Determine the unknown angles of the triangle. - Students 81563
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? - Wreaths 81547
Eva paid €8.4 for three wreaths and five creams. Jana paid €15.6 for 9 wreaths and 7 creams. How many crowns will Jan pay for one wreath and one cream? - Quadrilateral 81544
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. - Children 81526
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? - Together 81521
Pavel and Vojta were planting trees at the forestry brigade. Pavel planted two more trees than Vojta in a six-hour shift. Together, they planted 156 saplings in three such shifts. How many saplings did Pavel and Vojta plant during the brigade? - Weighs 81511
2 hens weigh 1kg more than a goose. 3 hens weigh 1kg 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. - Identical 81466
If the clerk at the buffet bought 15 identical loaves of bread, she would have 5 euros left in her wallet. If she bought 3 loaves of bread less, she would have 8.60 euros left. How many euros did she have in her wallet? - Neighbor 81456
Mr. Novak earns as many euros in half a year as his neighbor in 4 months. The neighbor earns 420 euros more per month than Mr. Novak. What is the monthly income of Mr. Novak? - Simultaneously 81441
The tank is filled through three openings, A, B, and C. The simultaneously open inlets A and B are filled in 1 hour, inlets A and C in 45 minutes, and inlets B and C in 1.5 hours. How long would it take to fill each inlet separately?
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