System of equations - math word problems - page 88 of 107
Number of problems found: 2130
- Rectangle vs square
One side of the rectangle is 1 cm shorter than the side of the square. The second side is 3 cm longer than the side of the square. The square and rectangle have the same area. Calculate the length of the sides of a square and a rectangle. - Number difference
The difference between the two numbers is 82. The first number is eight, less than the square of the second number. Specify these numbers. - Concentration
How many grams of 65% and 50% acid are to be mixed to give 240 g of acid with a concentration of 60%? - Product of three
The product of 3 numbers is 42. The first is 1.5 times larger than the second number, and the third is 3.5 times larger than the second number. What numbers are these? - Water mixing
Find how many liters of water at 80 °C and 20 °C need to mix to get 30 liters at 60 °C. - Tree storm
In the orchard, there were 46 more apple trees than pears. The storm upset a quarter of apple trees and seven pears; however, there were still 80 trees left. How many were apple trees, and how many pears were in the garden? - Number difference
The difference between the two numbers is 4/3. If you know that the first number is 50% larger than the second number, specify both numbers. - Formic acid mixture
How many liters of 60% and 80% formic acid do we have to mix to get 80 liters of this acid with a concentration of 65%? - Two numbers sum
The sum of the two numbers is 52.5. The first number makes up 75% of the second number. Specify both numbers. - Solution
What amount of 80% solution and water is needed to mix to obtain two liters of 60% solution of this mixture? - Parallelogram sides
In the parallelogram ABCD, the side AB is three times longer than the side BC. The circumference of the parallelogram is 20 cm. Find the lengths of the sides of the parallelogram. - Contestants
In the competition, it was possible to get 0-5 points. Five of the 15 best contestants have earned 5 points or 4 points (which have won 10 contestants). The number of contestants who scored 3 points was the same as those who did not get any points. Calcul - AP 6
Calculate the first five items of an arithmetic sequence if it is given: a2 – a3 + a5 = 20 a1 + a6 = 38 - Two numbers
The sum of the two numbers is 98. The first number is 4/3 times larger than the second. What are the numbers? - Two numbers
The sum of two numbers is 1. Identify these two numbers if you know that half of the first is equal to the third of the second number. - Weight ratio
Andrej, Michal, Patrik, and Juraj together weigh 128 kg. Their weights are in the ratio 1:6:7:2. Determine what weight each of them has. - Three numbers
Find three numbers so that the second number is three times larger than the first and the third is six larger than the second number. Their sum is 62 - Consecutive numbers
The sum of four consecutive odd numbers is 240. What are the numbers? - Pupils at cinema
Alena bought movie tickets for two groups of pupils. The first group purchased seven tickets for 1st and five for 2nd place, and she paid 62Kč. The second group bought 11 tickets for 1st and four for 2nd place and paid 82Kč. How much was the ticket for 1s - Car
The car drove some distance in 3 hours and 20 minutes. If it increases speed by 10 km/h, it goes this distance in 2.5 hours. Calculate the distance.
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