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Problems progress from introductory single-step equations to multi-constraint systems such as simultaneous conditions on totals, profits, and distributions. Includes applications of percentage change, linear relationships, and equation solving to find unknown quantities.",{"@graph":69,"@context":115},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/word-problems-practice/144099/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/word-problems-practice/144099.png","ImageObject",300,407,{"name":92,"@type":93},"Evangeline","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",15,{"@type":107,"mainEntity":108},"FAQPage",[109],{"name":110,"@type":111,"acceptedAnswer":112},"Are there word problems that require setting up systems of equations?","Question",{"text":113,"@type":114},"Yes. 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A taxi service charges 300 soums for the first kilometer and 50 soums for each additional kilometer. If Botir's total fare was 3,200 soums, how many kilometers did he travel?  \n7. The total cost of six apples and four oranges is £1 .90, while the cost of eight apples and two oranges is £1.80. Determine the individual prices of an apple and an orange.  \n8. In 2005, the combined annual salaries of Otabek and Barchinoy amounted to  \n2,400 thousand soums. In 2006, Otabek’s salary increased by 25%, while Barchinoy’s salary increased by 12.5%, bringing their total earnings to 2,880 thousand soums. Determine the monthly salary of each person in 2006.  \n9. A group of ninth-grade students is raising funds by selling T-shirts and baseball caps. The number of T-shirts sold was three times the number of caps. Each T-shirt generated a profit of 1,000 soums, while each cap brought in a profit of 500 soums. If the total profit amounted to 42,000 soums, determine how many T-shirts and caps were sold.  \n10. A group of 35 friends went on an excursion, and each person spent an average of 1,434 soums on expenses and souvenirs. The average spending per girl was 1,470 soums, while each boy spent an average of 1,400 soums. Determine the number of girls and boys who participated in the excursion.  \n11.At Oloy market, the cost of 2 kilograms of nuts and 3 kilograms of raisins is  \n23,000 soums, while the cost of 4 kilograms of nuts and 2 kilograms of raisins is 26,000 soums. Determine the price of one kilogram of nuts and one kilogram of raisins.  \n12.The price of a notebook was first reduced by 15%, followed by an additional reduction of 150 soums. After these decreases, the notebook now costs 190 soums. Determine its original price before both reductions.  \n13.A shop has 50 computer games for sale. If each game is sold at £31 . 50, they make a 26% profit per game. Calculate the total profit if they sell half of the games at £31 . 50, 24 games at £26 . 50, and one game remains unsold  \n14. A dealer bought a horse with the expectation of selling it at a 10% profit. However, he had to sell it for 5,000 soums less than his expected price. Upon reviewing his transaction, he realized that he actually incurred a 15% loss on the original cost of the horse. How much did he originally pay for the horse?  \n15. A pizzeria sells two types of pizzas: Pizza A for $17 each and Pizza B for $13 each. The weekly ingredient costs are $450 for Pizza A and $310 for Pizza B. Last week, the pizzeria sold the same number of Pizza A and Pizza B, and the weekly profit from each type was equal. If x represents the number of Pizza B sold, what is the value of x?  \nA) 30  \nB) 35  \nC) 140  \nD) 145  \n16. Malik earns an annual salary of $25,500, which he expects to increase by a fixed dollar amount each year. In 12 years, his salary will have doubled. Assuming salary increases occur only at the end of each full year, how many years will it take for Malik’s salary to reach at least $40,000 per year?  \n17. A shopkeeper marks up the price of an item by 40% and then gives a 25% discount on the new price. If the final selling price is $180, what was the original price before the markup?  \n18. Two trains, Train A and Train B, are moving toward each other from opposite stations 300 km apart. Train A travels at 80 km/h, and Train B travels at 70 km/h. If both trains depart at the same time, how long will it take before they meet?  \n19. Alice, Bob, and Charlie can complete a job in 10, 15, and 20 days, respectively, when working alone. If they all work together, how long will it take them to complete the job?  \n20. A three-digit number is such that the sum of its digits is 12 and it leaves a remainder of 5 when divided by 7. What is the number?  \n21. A bacteria culture doubles in size every 3 hours. If there were 500 bacteria initially, how many will there be after 24 hours?  \n22. A jar contains milk and water in the ratio 5:3 . If 16 liters of th","cbCaij2Mk1b2DEQN","https://ap.wps.com/l/cbCaij2Mk1b2DEQN","pdf",823190,"English","# Word Problems\n## Pricing and Percent Change\n## Travel, Work, and Growth\n## Ratios, Mixtures, and Pipes","[{\"question\":\"Are there word problems that require setting up systems of equations?\",\"answer\":\"Yes. Several questions combine multiple conditions—such as totals, number relationships, and digit-sum or remainder constraints—so solving requires simultaneous equations or equivalent algebraic reasoning.\"}]","Word Problems - Practice | PDF"]