Ratio + system of equations - practice problems - page 5 of 9
Number of problems found: 170
- Original 6497
Two numbers are in the ratio 5:6. If one number is smaller by seven and the other is larger by seven, there will be new numbers in the ratio 4:7. What is the original, and what are the changed numbers? - Ratio of sides
The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6: 5: 3. Find the length of the longest side of the triangle in cm. - Rectangular 6397
Calculate the area of Mr. Vejvoda's rectangular garden rounded to whole hectares if you know that garden fencing, including gates and doors, is 420 m long and its dimensions are in the ratio of 9:5 - A triangle
A triangle has one angle of 63.1°, and the other two are in the ratio of 2:5. What are the measurements of the two angles?
- Vegetable stew
The recipe for vegetable stew is recommended to mix tomatoes, peppers, and onions in a ratio of 4:3:1. The cook has already prepared both onions and peppers. In contrast, the onions were five kilograms less than the peppers. How many kilograms of tomatoes - Beginning 6334
On the tray, they had apricot and plum cakes in a ratio of 3:2. After eating three apricot pies, the chance of taking out a plum and apricot was the same. How many cakes were there together on the tray at the beginning? - The sides
The sides of a rectangle are in a ratio of 2:3, and its perimeter is 1 1/4 inches. What are the lengths of its side? Draw it. - Children's 6140
The store received a total of 666 pairs of children's, men's and women's shoes. Men were 2.5 times less than children, while children were 1.4 times more than women. Express in whole numbers the ratio of the number of pairs of children's, men's, and women - Plastering 6132
Three masons received 44,100 SK for plastering the house. This amount was divided according to the number of hours worked. The first received three times as much as the second, and the second received half as much as the third. Determine in what gradual r
- Yellows 6118
Peter chose balls of two colors. The numbers of yellows and reds were in the ratio of 7:5, and the yellows were six more. How many did he have? - The sides
The sides of the rectangle are in a ratio of 3:5, and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals - Line segment
Cut a line segment of 15 cm into two line segments so that their lengths are in a ratio of 2:1. What length will each have? - Debt
Joe and Caryl have a debt of $100,500. Joe makes $90,000 annually, and Caryl makes $35,000 annually. Based on their salaries, how much should both pay to zero out the debt fairly? - Isosceles triangle
The perimeter of an isosceles triangle is 112 cm. The length of the arm to the length of the base is at a ratio of 5:6. Find the triangle area.
- Book read
If Petra read ten pages per day, she would read the book two days earlier than she read six pages a day. How many pages does a book have? - Ratio of two unknown numbers
Two numbers are hidden. Their sum is 30. We calculate one-sixth of a larger number and add to both numbers. So we get new numbers whose ratio is 5:7. Which two numbers is it? - Boys and girls 2
The ratio of boys to girls in the math club is 4:3 . After eight more girls join the club, the ratio becomes 1:1. How many members are there in the club now? - Difference 5186
The unknown number was first increased by 17%, and the result was the number A. The second time, the teacher reduced the original number by 8%, resulting in number B. The difference between the numbers A and B is 50. Determine the unknown number. - Angles
In the triangle ABC, the ratio of angles is α:β = 4:5. The angle γ is 36°. How big are the angles α and β?
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