System of equations - math word problems - page 84 of 103
Number of problems found: 2050
- Three-hectolitre 3136
Workers rolled the oil into 115 two-liter and three-liter cans from a full three-hectolitre barrel. How many cans were there?
- Siblings
Three siblings had saved up a total of 1,274 CZK. Peter had saved up to 15% more than Jirka and Hanka, 10% less than Peter. How much money did they save for each one of them?
- Pohádkov 3118
The brothers live in a small house with a garden in Pohádkov. The house has four times more windows than doors. There are a total of 20 windows and doors in the house. How many windows and how many doors?
- 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.
- Difference 3113
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 3108
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?
- Liters 3107
Find how many liters of water at 80 °C and 20 °C need to mix to get 30 liters at 60 °C.
- Quarter 3106
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?
- Difference 3101
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.
- Concentration 3097
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%?
- Numbers 3090
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?
- Circumference 3088
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
- Numbers 3053
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.
- Determine 3033
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.
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