System of equations - math word problems - page 19 of 110
Number of problems found: 2182
- Milan Anka stamps
Milo has four times more marks than Annie. Annie has twice as few grades as George. They have a total of 91 stamps. How many stamps does each person have? - Rectangle - diagonal
A rectangle whose one side measures 35 m and the other is 7 m shorter than the diagonal of the rectangle. Calculate its area in m² (square meters). - Swimming training pupils
One hundred seventy-one pupils from the second to fourth years of primary school participated in swimming training. How many of them were from the fourth grade if there were 10% more third graders than second graders and 20% more fourth graders than third - Chocolate gingerbread price
One package of chocolate costs 9 CZK more than one package of gingerbread. Five packages of chocolate were CZK 15 more expensive than 10 packages of gingerbread. How much was a package of chocolates, and how much was a package of gingerbread? - Isosceles triangle sides
Calculate the size of the base and side of an isosceles triangle if the side is 1 cm longer than the base and the height to the base is 2 cm shorter than the side. - Car opposite meeting
The distance between Aš and Břeclav is 477 km. At what speeds were the cars driving against each other when the slower one left Aš at 6:30 AM and the second left Břeclav at 8 AM? They meet at 10:30 AM, and the difference in their speeds is 41 km/h. How fa - Juraj Žaneta age
George and Janet are 48 years old. George is twice as old as Janet. How old is George, and how old is Janet? - Line integer coefficients
Good day, Even though it is a trivial task, I don’t know how to deal with it. This is analytic geometry: Find all integers a, b, and c such that the line given by the equation ax+by=c passes through the points [4,3] and [−2,1]. for your answer - Hard equations If a<b and c<d and a+b all/2 = c and c+d all/2 = b, and if d-a = 60, what is b-c?
- Cuboid's diagonal
The cuboid has a body diagonal u=25 cm, and side b is one-third longer than side a. What is the volume of the cuboid? - Angles in a triangle
In a triangle, the first angle measures a number plus 45°, and the second angle is 30° less than the first angle. The third angle is two times the number more than the first angle. What are the measurements of each angle of the triangle? - You buy
You buy two soft drinks and 24 toffees at the tuck shop. One soft drink costs six times as much as one toffee, so your total purchase cost is R54. Determine the cost of one toffee. - Cows and pigs
There are 3/4 as many cows as pigs on an animal farm. If there are 35 pigs and cows on the farm, how many of them are pigs? - One angle
One angle is 10 degrees more than four times the measure of the other angle. Together they sum to 120 degrees. What is the measure of each angle? - Tanya
Tanya bought three adult tickets and one children's ticket to a movie for $22.10. Li bought five adult tickets and four children's tickets for $43.60. Find the cost of one adult ticket and the cost of one children's ticket. - Five friends
Five friends ate a 12-slice pizza. Samir ate three times as many slices as Joe. Joe ate half as many slices as Emily. Kendra and Fong together ate half a pizza. Kendra ate one-third as many slices as Samir. Fong ate the most slices. What fraction of a piz - I bought 2
I bought two bottles of alcohol and two sanitizers for Php126. How much is a bottle of alcohol if the cost of alcohol is five times the cost of sanitizer? - Movie theatre
At the movie theatre, child admission is 5.40, and adult admission is 9.70. On Thursday, the theatre sold 159 tickets for a total sales of 1142.40. How many child tickets were sold that day? - A Shopkeeper 4
A Shopkeeper gave a bill to a customer. The bill was in two digits but was mistakenly interchanged, thereby undercharging the customer by $45.00. If the sum of the digits is 9, find the actual value of the bill. - The lengths
The lengths of the twelve poles form an Arithmetic Progression (A. P). If the third pole is 3 m and the eighth pole is 5 m, find the (i) Length of the first pole (ii) Sum of the length of the poles
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