Joe paid 14.00 for a board game this is 70% off the original price what is the original price? A. 21.00 B. 20.00<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n Let’s solve the problem step-by-step:<\/p>\n\n\n\n Problem:<\/strong> Let PP be the original price.<\/p>\n\n\n\n Since Joe paid 30% of PP, we can write: Divide both sides by 0.30: The calculation gives an original price of $46.67, but the options are:<\/p>\n\n\n\n Neither is close to $46.67.<\/p>\n\n\n\n If Joe paid $14, which is 70% off<\/strong>, meaning he paid 30%<\/strong> of the price, the original price should be: Original price=Amount paidPercent paid=140.30=46.67\\text{Original price} = \\frac{\\text{Amount paid}}{\\text{Percent paid}} = \\frac{14}{0.30} = 46.67<\/p>\n\n\n\n This is mathematically correct.<\/p>\n\n\n\n If $14 represents 70% of the original price<\/strong> (not a 70% discount), then: 0.70\u00d7P=140.70 \\times P = 14 P=140.70=20P = \\frac{14}{0.70} = 20<\/p>\n\n\n\n That matches option B) $20.00.<\/p>\n\n\n\n If Joe paid $14 after a 70% discount<\/strong>, the original price is about $46.67 (not in choices).<\/p>\n\n\n\n If Joe paid $14 which is 70% of the original price<\/strong> (meaning 30% off), then the original price is:<\/p>\n\n\n\n $20.00 (Option B).<\/strong><\/p>\n\n\n\n When dealing with discounts, it’s important to understand the language carefully. The phrase “70% off” means the price is reduced by 70%, so the customer pays only 30% of the original price. If Joe paid $14 after a 70% discount, then $14 represents 30% of the original price. To find the original price, divide the paid amount by 30% (or 0.30). This calculation gives about $46.67, which means the original price was nearly $47 before the discount.<\/p>\n\n\n\n However, if the question’s options do not include this value, there might be a misunderstanding or a typo. If instead the $14 paid is 70% of the original price (implying only 30% off), then $14 equals 70% of the original price. In this case, dividing $14 by 0.70 gives the original price as $20, which matches one of the options.<\/p>\n\n\n\n Understanding the difference between “70% off” (meaning 70% discount) and “70% of the original price” (meaning 30% discount) is key here. The first implies paying 30%, and the second implies paying 70%.<\/p>\n\n\n\n Always carefully analyze the wording of discount problems. The formula to find original price when given discounted price is: Original Price=Discounted Price1\u2212Discount Rate\\text{Original Price} = \\frac{\\text{Discounted Price}}{1 – \\text{Discount Rate}}<\/p>\n\n\n\n where discount rate is expressed as a decimal. For a 70% discount, that would be: Original Price=140.30=46.67\\text{Original Price} = \\frac{14}{0.30} = 46.67<\/p>\n\n\n\n For a 30% discount (70% of original price), it would be: Original Price=140.70=20\\text{Original Price} = \\frac{14}{0.70} = 20<\/p>\n\n\n\n So, based on the options given, the likely intended answer is B) 20.00<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":" Joe paid 14.00 for a board game this is 70% off the original price what is the original price? A. 21.00 B. 20.00 The correct answer and explanation is: Let’s solve the problem step-by-step: Problem:Joe paid $14.00 for a board game, and this price reflects a 70% discount off the original price. What was the […]<\/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-21657","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21657","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=21657"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21657\/revisions"}],"predecessor-version":[{"id":21658,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21657\/revisions\/21658"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=21657"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=21657"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=21657"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Joe paid $14.00 for a board game, and this price reflects a 70% discount off the original price. What was the original price?<\/p>\n\n\n\n
\n\n\n\nStep 1: Understand what “70% off” means<\/h3>\n\n\n\n
\n
\n\n\n\nStep 2: Set up the equation<\/h3>\n\n\n\n
0.30\u00d7P=140.30 \\times P = 14<\/p>\n\n\n\n
\n\n\n\nStep 3: Solve for PP<\/h3>\n\n\n\n
P=140.30P = \\frac{14}{0.30}
P=46.67P = 46.67<\/p>\n\n\n\n
\n\n\n\nStep 4: Check the given choices<\/h3>\n\n\n\n
\n
\n\n\n\nLet’s re-examine the problem:<\/h3>\n\n\n\n
\n\n\n\nConclusion:<\/h3>\n\n\n\n
\n
\n\n\n\nAlternative interpretation:<\/h3>\n\n\n\n
\n\n\n\nFinal answer:<\/h3>\n\n\n\n
\n\n\n\nExplanation (300 words):<\/h2>\n\n\n\n