System of equations + money - practice problems - page 16 of 18
Number of problems found: 358
- Motel
Three different dinners A, B, and C are served in the motel. Three 20 members went to a motel. Group 1 ordered dinner A 20 members, and their average dinner price in the group was CZK 200. From Group 2, they ordered dinner A: 10 persons, B 10 dinners, and - Children tickets
A ticket to the museum for children costs 10 SKK for adults and 20 SKK. Fifty people came to the museum and paid 700 SKK. How many children were there? - Length-to-width 3175
We want to enclose a rectangular garden whose length-to-width ratio is 2:1 and whose half of the perimeter borders the road. The fencing path along the road costs 7 euros per meter, and the other fencing costs only 3 euros per meter. How many acres does a - 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?
- 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 - Groschens
The young journeyman bought a cloak, hat, and galoshes. He paid 200 grosz for everything. A cloak costs 90 groschen, more than a hat, and a hat with a cape costs 160 groschen, more than a galoshes. How much groschen did the cloak cost, and how many hats a - 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? - 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? - 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?
- 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. - 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. - 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 - 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?
- Saving
Paul saves 155Kč in 46 2 Kc and 5Kc coins. How much saved 2Kc and 5Kc coins? - Landlord
The landlord had 49 ducats more than Jurošík. How many ducats Jurošík steal landlord if the Jurošík now five ducats more? - Shoes and slippers
Shoes were three times as many as slippers. If shoes were cheaper by 120, they would be twice as expensive as slippers. How much did the shoes cost, and how much did the slippers? - Saved 2490
Žeňa and Ivan saved a total of 800 CZK. How much did Ivan save if he had saved 80 CZK more than Žeňa? - Savings 2
Jozef and Michael saved 46 euros together. Michael saved 22 euros more than Jozef. How much did they save each of them?
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