The latest online craze is a new game, Khan on Seven. You get 100100100 points for playing the game. In addition, you get 505050 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the record, and he needs 18,000 or more points to do so.<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To find out how many seven-letter words Sal needs to create to break the record, let\u2019s define the known values from the question:<\/p>\n\n\n\n Wait a minute \u2014 there is a problem<\/strong> here.<\/p>\n\n\n\n The base score mentioned is 100100100 points<\/strong>, which is over 100 million points<\/strong>, and Sal only needs 18,000<\/strong> points to break the record. This cannot be correct as written, because he already has over 100 million points just for playing.<\/p>\n\n\n\n Let\u2019s assume there’s a typo or formatting error<\/strong> in the question. Most likely, the numbers are 100, 100, and 100 points<\/strong> for base play, and 50, 50, and 50 points<\/strong> for each seven-letter word \u2014 that is, the actual points are:<\/p>\n\n\n\n Let\u2019s solve under this assumption.<\/p>\n\n\n\n Sal gets 100 points<\/strong> automatically.<\/p>\n\n\n\n Each word gives 50 points<\/strong>, so the total additional points are 50x<\/strong>.<\/p>\n\n\n\n Total score = Base score + Word points = 100 + 50x<\/p>\n\n\n\n We want:<\/p>\n\n\n\n $$ Subtract 100:<\/p>\n\n\n\n $$ Divide by 50:<\/p>\n\n\n\n $$ Sal needs to make at least 358 seven-letter words<\/strong> to break the record.<\/p>\n\n\n\n To determine how many seven-letter words Sal must create to surpass the 18,000-point record, we first interpret the game\u2019s scoring system. The question states that Sal earns 100100100 points for playing the game and 505050 points for each valid word. However, these numbers are most likely formatting errors \u2014 the repetition suggests that the real values are 100 points for playing<\/strong> and 50 points per word<\/strong>. Otherwise, the base score would already far exceed the goal.<\/p>\n\n\n\n Assuming that, we start by recognizing that Sal begins with a base of 100 points. Then, he earns 50 points for every seven-letter word formed. If he forms x<\/strong> such words, his total score becomes:<\/p>\n\n\n\n $$ We want this total to be at least 18,000 to break the record. That sets up the inequality:<\/p>\n\n\n\n $$ Subtracting the base score:<\/p>\n\n\n\n $$ Dividing both sides by 50:<\/p>\n\n\n\n $$ This means Sal must form at least 358 seven-letter words<\/strong> to reach or exceed the record score. If he forms fewer than that, his total score will fall short.<\/p>\n\n\n\n This kind of problem involves translating a real-world scenario into an algebraic inequality, solving it, and interpreting the result in the context of the game. It’s a great example of practical math \u2014 using arithmetic and algebra to solve everyday problems.<\/p>\n","protected":false},"excerpt":{"rendered":" The latest online craze is a new game, Khan on Seven. You get 100100100 points for playing the game. In addition, you get 505050 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the record, and he needs 18,000 or more points to do so. The Correct […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-213787","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/213787","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=213787"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/213787\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=213787"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=213787"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=213787"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Given:<\/h3>\n\n\n\n
\n
\n
\n\n\n\nStep 1: Base Score<\/h3>\n\n\n\n
Step 2: Let\u2019s say Sal makes x<\/strong> seven-letter words.<\/h3>\n\n\n\n
Step 3: Total Score<\/h3>\n\n\n\n
Step 4: Set up inequality<\/h3>\n\n\n\n
100 + 50x \\geq 18000
$$<\/p>\n\n\n\n
50x \\geq 17900
$$<\/p>\n\n\n\n
x \\geq \\frac{17900}{50} = 358
$$<\/p>\n\n\n\n
\n\n\n\n\u2705 Final Answer:<\/h3>\n\n\n\n
\n\n\n\nExplanation (300+ words):<\/h3>\n\n\n\n
\\text{Total score} = 100 + 50x
$$<\/p>\n\n\n\n
100 + 50x \\geq 18000
$$<\/p>\n\n\n\n
50x \\geq 17900
$$<\/p>\n\n\n\n
x \\geq 358
$$<\/p>\n\n\n\n