{"id":26854,"date":"2025-06-19T19:01:28","date_gmt":"2025-06-19T19:01:28","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=26854"},"modified":"2025-06-19T19:01:30","modified_gmt":"2025-06-19T19:01:30","slug":"the-mass-of-a-papaya-is-2-35-kg-less-than-the-mass-of-a-watermelon","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/the-mass-of-a-papaya-is-2-35-kg-less-than-the-mass-of-a-watermelon\/","title":{"rendered":"The mass of a papaya is 2.35 kg less than the mass of a watermelon"},"content":{"rendered":"\n<p>The mass of a papaya is 2.35 kg less than the mass of a watermelon. The totalmass of the two fruits is 4 kg 50 g. What is the mass of the watermelon in kg?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Correct Answer: 3.2 kg<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation (300 words):<\/strong><\/h3>\n\n\n\n<p>We are given two key pieces of information:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The <strong>mass of the papaya is 2.35 kg less<\/strong> than the mass of the watermelon.<\/li>\n\n\n\n<li>The <strong>total mass<\/strong> of the papaya and the watermelon is <strong>4 kg 50 g<\/strong>.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 1: Convert all units to kilograms<\/strong><\/h3>\n\n\n\n<p>Since 50 grams = 0.050 kg,<br><strong>Total mass = 4 kg 50 g = 4.050 kg<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 2: Let the mass of the watermelon be x kg<\/strong><\/h3>\n\n\n\n<p>Then, the mass of the papaya = x\u22122.35x &#8211; 2.35 kg<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 3: Set up the equation using total mass<\/strong><\/h3>\n\n\n\n<p>Watermelon&nbsp;mass+Papaya&nbsp;mass=4.050&nbsp;kg\\text{Watermelon mass} + \\text{Papaya mass} = 4.050 \\text{ kg} x+(x\u22122.35)=4.050x + (x &#8211; 2.35) = 4.050<\/p>\n\n\n\n<p>Simplify: 2x\u22122.35=4.0502x &#8211; 2.35 = 4.050<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 4: Solve for x<\/strong><\/h3>\n\n\n\n<p>Add 2.35 to both sides: 2x=4.050+2.35=6.4002x = 4.050 + 2.35 = 6.400<\/p>\n\n\n\n<p>Divide both sides by 2: x=6.4002=3.2x = \\frac{6.400}{2} = 3.2<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 5: Final Answer<\/strong><\/h3>\n\n\n\n<p>The mass of the <strong>watermelon is 3.2 kg<\/strong>,<br>and the papaya is 3.2\u22122.35=0.853.2 &#8211; 2.35 = 0.85 kg.<br>Check: 3.2+0.85=4.053.2 + 0.85 = 4.05 kg \u2714\ufe0f<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Conclusion:<\/strong><\/h3>\n\n\n\n<p>This problem is a good example of using basic algebra and unit conversion. It\u2019s important to work in the same units\u2014so converting 50 grams to 0.050 kg was necessary. By assigning a variable (x) to the unknown, we formed an equation and solved it step-by-step. The watermelon, being heavier by 2.35 kg, ended up having a mass of <strong>3.2 kg<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The mass of a papaya is 2.35 kg less than the mass of a watermelon. The totalmass of the two fruits is 4 kg 50 g. What is the mass of the watermelon in kg? The correct answer and explanation is: Correct Answer: 3.2 kg Explanation (300 words): We are given two key pieces of [&hellip;]<\/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-26854","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26854","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=26854"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26854\/revisions"}],"predecessor-version":[{"id":26856,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26854\/revisions\/26856"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=26854"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=26854"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=26854"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}