Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils.<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n Each package contains 12 pencils<\/strong>.<\/p>\n\n\n\n Let\u2019s break down the problem logically and mathematically.<\/p>\n\n\n\n We are asked to find out how many pencils were in each package<\/strong>.<\/p>\n\n\n\n Let\u2019s say each package contains x<\/strong> pencils.<\/p>\n\n\n\n Since he bought 4 packages, the total number of pencils he had at the beginning is: 4x pencils4x \\text{ pencils}<\/p>\n\n\n\n Ethan gave away 8 pencils, so: Remaining pencils=4x\u22128\\text{Remaining pencils} = 4x – 8<\/p>\n\n\n\n We are told he had 40 pencils left<\/strong>, so: 4x\u22128=404x – 8 = 40<\/p>\n\n\n\n 4x\u22128=404x – 8 = 40<\/p>\n\n\n\n Add 8 to both sides: 4x=484x = 48<\/p>\n\n\n\n Divide both sides by 4: x=12x = 12<\/p>\n\n\n\n Each package had 12 pencils<\/strong>.<\/p>\n\n\n\n This type of problem helps build algebraic thinking. By setting up an equation using a variable for the unknown (pencils per package), you can solve step by step. It\u2019s a classic example of using linear equations to model real-life problems. Ethan\u2019s initial total of pencils (4 packages) minus the ones he gave away must equal the number he has left. This is a common approach in both school word problems and daily decision-making tasks.<\/p>\n","protected":false},"excerpt":{"rendered":" Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils. The correct answer and explanation is: \u2705 Correct Answer: Each package contains 12 pencils. \ud83e\udde0 Step-by-Step Explanation: Let\u2019s break down the problem logically and mathematically. \u270f\ufe0f Given: We are asked to find out how many pencils were […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-21167","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21167","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=21167"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21167\/revisions"}],"predecessor-version":[{"id":21170,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21167\/revisions\/21170"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=21167"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=21167"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=21167"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\u2705 Correct Answer:<\/h3>\n\n\n\n
\n\n\n\n\ud83e\udde0 Step-by-Step Explanation:<\/h3>\n\n\n\n
\n\n\n\n\u270f\ufe0f Given:<\/h3>\n\n\n\n
\n
\n\n\n\n\ud83d\udd0d Step 1: Represent the total number of pencils before giving any away.<\/h3>\n\n\n\n
\n\n\n\n\ud83d\udd0d Step 2: Subtract the pencils he gave away.<\/h3>\n\n\n\n
\n\n\n\n\ud83d\udd0d Step 3: Solve the equation.<\/h3>\n\n\n\n
\n\n\n\n\ud83c\udf89 Final Answer:<\/h3>\n\n\n\n
\n\n\n\n\ud83d\udcd8 Summary:<\/h3>\n\n\n\n