System of equations - math word problems - page 86 of 103
Number of problems found: 2041
- Martin 2828
Twelve years ago, Martin was three times older than Pavol. Now, Martin is twice as old as Pavol. How old is Martin now, and how old is Pavol?
- Younger 2826
Milan and Juraj are a total of 56 years old. Milan is eight years younger than Juraj. Please find out how old each of them is.
- Originally 2822
There were plums in the basket. They doubled their number and then took 8 plums. They doubled the number of plums left in the basket again and took 8 plums. They doubled the number once more and took 8 plums. Then, there was no plum left in the basket. Ho
- Lemonades 2816
Three cakes and two lemonades cost € 3 and 21 cents. Three cakes and three lemonades cost € 3 and 99 cents. How many cents does one cake cost, and how much does one lemonade cost?
- Chocolates 2800
One popsicle and one chocolate cost € 2 and 10 cents. Three popsicles and two chocolates cost € 5 and 10 cents. How much is one popsicle, and how much is one chocolate?
- Beginning 2799
Three friends were playing bullets. They did not have the same number of marbles at the start of the game. They had them in a ratio of 2:7:5, while Mišo and Jano had a total of 77 bullets. How many marbles did their friend Peter have at the beginning? Cou
- Creases 2795
Three punch cuts cost as much as two creases. How much does it cost if five punch cuts cost 2 euros 50 cents?
- Together 2780
Vlasta, Zuzka, and Vierka shared the reward in the ratio of 2:8:5. Zuzka and Vierka had 160 euros together. How old was Vlasta?
- Afforestation 2777
During the afforestation, 2,950 saplings were planted in three days. On the second day, 25% more saplings were planted than on the first day, and on the third day, 15% more than on the second day. How many saplings were planted during each day?
- Ring
The gold and copper alloy rings weigh 14.5 g and have a volume of 1.03 cm³. How much gold and copper does each ring contain? The metal densities are Au 19.3 g/cm³ and Cu 8.94 kg·dm-3
- Remembered 2766
Aunt bought 6 identical mugs and one coffee pot. She paid €60 in total. A teapot was more expensive than one mug but cheaper than two mugs. Auntie remembered that all the prices were in whole euros. How much € was one mug, and how much was a kettle?
- 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.
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