{"id":209,"date":"2022-04-12T12:31:35","date_gmt":"2022-04-12T12:31:35","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=209"},"modified":"2025-12-04T11:51:20","modified_gmt":"2025-12-04T11:51:20","slug":"j-7-percents-of-numbers-word-problems","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/j-7-percents-of-numbers-word-problems\/","title":{"rendered":"J.7 Percents of numbers: word problems"},"content":{"rendered":"\n

Percents of numbers: word problems<\/strong><\/h2>\n\n\n\n

key notes :<\/strong><\/p>\n\n\n\n

\ud83d\udccc What is Percent?<\/strong><\/p>\n\n\n\n

Percent means \u201cper 100\u201d<\/strong>.<\/p>\n\n\n\n

Symbol: %<\/code><\/p>\n\n\n\n

Example: 25% = 25 out of 100 = 25\/100 = 0.25<\/p>\n\n\n\n

\ud83e\uddee Formula to Find Percent of a Number:<\/strong><\/p>\n\n\n\n

Percent of a number = (Percent \u00f7 100) \u00d7 Whole Number<\/strong><\/p>\n\n\n\n

Example: Find 20% of 150 \u2192 (20 \u00f7 100) \u00d7 150 = 30 \u2705<\/p>\n\n\n\n

\ud83d\udcb0 Word Problem Steps:<\/strong><\/p>\n\n\n\n

Read the problem carefully<\/strong> \ud83d\udcd6<\/p>\n\n\n\n

Identify the whole<\/strong> (the total amount)<\/p>\n\n\n\n

Identify the percent<\/strong> (how much out of 100)<\/p>\n\n\n\n

Use the formula<\/strong> to find the part or amount<\/p>\n\n\n\n

Check your answer<\/strong> for reasonableness \u2714\ufe0f<\/p>\n\n\n\n

\ud83d\udd04 Converting Percent to Decimal:<\/strong><\/p>\n\n\n\n

Move decimal two places left<\/strong><\/p>\n\n\n\n

Example: 75% \u2192 0.75, 8% \u2192 0.08<\/p>\n\n\n\n

\ud83d\udd22 Types of Word Problems:<\/strong><\/p>\n\n\n\n

Finding the Percent of a Number<\/strong><\/p>\n\n\n\n

Example: What is 15% of 200?<\/p>\n\n\n\n

Finding the Whole Number<\/strong><\/p>\n\n\n\n

Example: 30 is 20% of what number?<\/p>\n\n\n\n

Formula: Whole = Part \u00f7 (Percent \u00f7 100)<\/p>\n\n\n\n

Finding the Percent<\/strong><\/p>\n\n\n\n

Example: 50 out of 200 is what percent?<\/p>\n\n\n\n

Formula: Percent = (Part \u00f7 Whole) \u00d7 100<\/p>\n\n\n\n

\ud83d\udca1 Tips & Tricks:<\/strong><\/p>\n\n\n\n

Always underline the numbers<\/strong> in the problem<\/p>\n\n\n\n

Watch out for keywords<\/strong>: of \u2192 multiply, is \u2192 equal to, what \u2192 unknown<\/p>\n\n\n\n

Use estimations<\/strong> to quickly check your answer<\/p>\n\n\n\n

\ud83d\udcca Examples with Emojis:<\/strong><\/p>\n\n\n\n

A shop sold 120 \ud83c\udf4e apples. 25% were red \ud83c\udf4e. How many red apples?<\/p>\n\n\n\n

25% of 120 \u2192 (25 \u00f7 100) \u00d7 120 = 30 \ud83c\udf4e red apples<\/p>\n\n\n\n

A student got 45 marks out of 60 \ud83d\udcdd. What percent did he score?<\/p>\n\n\n\n

Percent = (45 \u00f7 60) \u00d7 100 = 75% \u2705<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

\n
\n

Tucker’s Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 10 espressos in all, 10% of which were single-shot. How many single-shot espressos did the cafe sell?<\/p>\n\n\n\n

 ———-single-shot espressos.<\/p>\n<\/div><\/div>\n\n\n\n

Find 10% of 10.<\/p>\n\n\n\n

The whole is 10.<\/p>\n\n\n\n

The percent is 10%.<\/p>\n\n\n\n

Let n<\/em> represent the part.<\/p>\n\n\n\n

Write a proportion to solve for n<\/em>.<\/p>\n\n\n\n

n\/10=10\/100<\/p>\n\n\n\n

100n=10 . 10<\/p>\n\n\n\n

100n=100<\/p>\n\n\n\n

n=100\/100<\/p>\n\n\n\n

n=1<\/p>\n\n\n\n

The cafe sold 1 single-shot espresso.<\/p>\n\n\n\n

You could also find the answer by writing and solving an equation:<\/p>\n\n\n\n

part=percent of whole<\/p>\n\n\n\n

n=10% . 10<\/p>\n\n\n\n

n=0.1 . 10<\/p>\n\n\n\n

n=1<\/p>\n\n\n\n

The cafe sold 1 single-shot espresso.<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

Javier ordered a set of beads. He received 35 beads, and 40% of them were purple. How many purple beads did Javier receive?<\/p>\n\n\n\n

—————— beads.<\/p>\n<\/div><\/div>\n\n\n\n

Find 40% of 35.<\/p>\n\n\n\n

The whole is 35.<\/p>\n\n\n\n

The percent is 40%.<\/p>\n\n\n\n

Let n<\/em> represent the part.<\/p>\n\n\n\n

Write a proportion to solve for n<\/em>.<\/p>\n\n\n\n

n\/35=40\/100<\/p>\n\n\n\n

100n=35 . 40<\/p>\n\n\n\n

100n=1400<\/p>\n\n\n\n

100n\/100=1400\/100<\/p>\n\n\n\n

n=14<\/p>\n\n\n\n

Javier received 14 purple beads.<\/p>\n\n\n\n

You could also find the answer by writing and solving an equation:<\/p>\n\n\n\n

part=percent of whole<\/p>\n\n\n\n

n=40% . 35<\/p>\n\n\n\n

n=0.4 . 35<\/p>\n\n\n\n

n=14<\/p>\n\n\n\n

Javier received 14 purple beads.<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

The lunch choices last Friday were mushroom or pepperoni pizza. The canteen made 42 pizzas in all, 50% of which were mushroom pizzas. How many mushroom pizzas did the canteen make?<\/p>\n\n\n\n

 —————————-mushroom pizzas.<\/p>\n<\/div><\/div>\n\n\n\n

Find 50% of 42.<\/p>\n\n\n\n

The whole is 42.<\/p>\n\n\n\n

The percent is 50%.<\/p>\n\n\n\n

Let n<\/em> represent the part.<\/p>\n\n\n\n

Write a proportion to solve for n<\/em>.<\/p>\n\n\n\n

n\/42=50\/100<\/p>\n\n\n\n

100n=42 . 50<\/p>\n\n\n\n

100n=2100<\/p>\n\n\n\n

100n\/100=2100\/100<\/p>\n\n\n\n

n=21<\/p>\n\n\n\n

The canteen made 21 mushroom pizzas.<\/p>\n\n\n\n

You could also find the answer by writing and solving an equation:<\/p>\n\n\n\n

part=percent of whole<\/p>\n\n\n\n

n=50% . 42<\/p>\n\n\n\n

n=0.5 . 42<\/p>\n\n\n\n

n=21<\/p>\n\n\n\n

The canteen made 21 mushroom pizzas.<\/p>\n<\/div><\/div>\n\n\n\n

let’s practice!<\/strong><\/p>\n\n\n\n

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Percents of numbers: word problems key notes : \ud83d\udccc What is Percent? Percent means \u201cper 100\u201d. Symbol: % Example: 25% = 25 out of 100 = 25\/100 = 0.25 \ud83e\uddee Formula to Find Percent of a Number: Percent of a number = (Percent \u00f7 100) \u00d7 Whole Number Example: Find 20% of 150 \u2192 (20Continue reading “J.7 Percents of numbers: word problems”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-209","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/209","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=209"}],"version-history":[{"count":18,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/209\/revisions"}],"predecessor-version":[{"id":22432,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/209\/revisions\/22432"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=209"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}