System of equations - math word problems - page 87 of 103
Number of problems found: 2050
- Two-fifths 2763
Pupils of four grades saved n=45000 crowns together. Of this, the first year saved one-third, the second one-third of the remainder, the third two-fifths of the remainder, and the fourth the remainder. How many crowns did each year save? - Distinction 2759
There are 500 pupils in the school. At the end of the school year, the principal announced that 20% of the students had received the award. At the same time, 18% of boys and 23% of girls achieved the distinction. Determine how many boys and how many girls - Octopuses 2755
Both octopuses have 112 tentacles. The pink octopus has 20 tentacles less than the yellow. How many tentacles does a pink squid have, and how many tentacles does a yellow squid have? - Multivitamin 2749
We paid a total of 290 CZK for 5 liters of orange juice and 6 liters of multivitamin juice. A liter of multivitamin juice is CZK 8 more expensive than a liter of orange juice. How much do we pay for 2 liters of orange and 3 liters of multivitamin juice?
- Two lands
The common area of the two neighboring lands is 964 m². The second land is smaller by 77 m2, twice the size of the first land. Find the areas of each land. - Determine 2743
Victoria, Vivien, and Marián have a total of 99 euros. Vivien has 2 euros more than Marian, and Marian has 1 euro less than Victoria. Determine how many euros each one has. - Proportions: 2742
The three siblings' ages are in such proportions: E: J = 5:4, J: P = 3:2. They are a total of 35 years old. How old are Eva, Jožo, and Peter? - Remuneration 2741
The three workers were to share the remuneration of 410 euros according to their performance in working together. Thus, A: B = 4:3 and B: C = 5:2. Advise them on how to distribute the reward fairly. - Properties: 2736
Find four numbers whose sum is 48 and which have the following properties: if we subtract 3 from the first, add 3 to the second, multiply the third by three, and divide the fourth by three, we get the same result.
- Smallest 2732
The sum of the three numbers is 77. The largest of them is three times the smallest, and the middle is half of the largest. Write all the summands. - Measurements 2728
Three friends weighed themselves so that two always stood on the scale, and the third wrote down the measured weight. After all the measurements, the numbers written on the paper were 60 kg, 64 kg, and 66 kg. Determine the mass of each boy. - Brothers 2726
The three brothers are 42 years old together. John is five years younger than Peter. Peter is two years younger than Michael. How old are they? - There 2723
There are three times as many geese as hares on the farm. They have a total of 60 feet. How many geese are on the farm? - Mother and daughter
The ratio of mother and daughter years is 5:2. After seven years, the ratio is 2:1. How many years ago was the daughter born?
- Men, women and children
On the trip, men, women, and children went by bus at a ratio of 2:3:5. Children paid 60 crowns, and adults paid 150. How many women were on the bus when a bus had a revenue of 4,200 crowns? - Mixing
If we mix 5 kg of goods of one kind and 3 kg of the second one, the resulting mixture costs 16.50 EUR/kg. If these quantities are mixed in reverse - the first three kilograms and 5 kilograms of the second cost of the mixture is 18.50 EUR/kg. What is the p - Passenger 2688
The distance between P and T is 89 km. At 8:00 AM, a lorry set off from T at a speed of 28 km/h, and at 8:45 AM, a passenger car set off against it from P at 52 km/h. When and at what distance will they compete? - Determine 2685 Andrej and Jaro have a total of 540 euros. Their amounts are in the ratio of 1: 8. Determine how much money each has.
- Saleswoman 2667
Martin bought goods in the store for 260 CZK. He paid with a thousand CZK crowns. The saleswoman returned 18 banknotes and coins worth CZK 10 and CZK 50. How many of each value were there?
We have two numbers. Their sum is 140. One-fifth of the first number is equal to half the second number. Determine those unknown numbers.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
