System of equations - math word problems - page 16 of 103
Number of problems found: 2050
- Difference 78294
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
- Žaneta 78044
Juraj and Žaneta are 48 years old. Juraj is twice as old as Žaneta. How old is Juraj, and how old is Žaneta?
- Geometry: 78014
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]. Thank you 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?
- One-third 77724
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 have a sum of 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 3m and the eighth pole is 5 m, find the (i) Length of the first pole (ii) Sum of the length of the poles
- The cost 5
The cost of three chairs and four tables is 320.00. If two chairs and five of the same kind cost 330.00, find the cost of (i) 4 chairs (ii) 3 tables
- Carrots and potatoes
Juri is doing his weekly grocery shop and buying carrots and potatoes. He calculates that the average weight of a carrot is 60 g and the average weight of a potato is 125 g. Furthermore, he calculates that the average weight of the carrots and potatoes he
- Estimate linear fx
Which of the following is the best estimate for the temperature at 11 PM if the temperature continues to drop at the same rate? time; temperature °C 3 PM; 32 6 PM; 30 12 PM; 20
- A speedboat
A speedboat goes 900 km against a current of 25 km/hr. Its trip took 10 minutes longer than it would have taken to travel with the current. What is the speedboat's speed in still water?
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