{"id":232,"date":"2022-04-12T09:57:49","date_gmt":"2022-04-12T09:57:49","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=232"},"modified":"2025-02-15T11:28:29","modified_gmt":"2025-02-15T11:28:29","slug":"k-6-percents-of-numbers-word-problems","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/k-6-percents-of-numbers-word-problems\/","title":{"rendered":"K.6 Percents of numbers: word problems"},"content":{"rendered":"\n

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

Key notes:<\/p>\n\n\n\n

\n

A percent is 1 part out of 100.<\/p>\n\n\n\n

1% is equal to 1\/100 or 0.01.<\/p>\n\n\n\n

Proportions can be used to solve percent problems.<\/p>\n\n\n\n

part \/ whole = percent \/ 100<\/p>\n\n\n\n

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

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\ud83d\udd14 Sam ordered a set of beads. He received 90 beads, and 10% of them were green. How many green beads did Sam receive?<\/strong><\/p>\n\n\n\n

________ beads<\/p>\n<\/div><\/div>\n\n\n\n

Find 10% of 90.<\/p>\n\n\n\n

The whole is 90.<\/p>\n\n\n\n

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

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

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

n \/ 90 = 10 \/ 100<\/p>\n\n\n\n

100n = 10 \u00b7 90<\/p>\n\n\n\n

100n = 900<\/p>\n\n\n\n

100n \u00f7 100 = 900 \u00f7 100<\/p>\n\n\n\n

n = 9<\/p>\n\n\n\n

Sam received 9 green beads.<\/p>\n\n\n\n

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

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

n = 10% \u00b7 90<\/p>\n\n\n\n

n = 0.1 \u00b7 90<\/p>\n\n\n\n

n = 9<\/p>\n\n\n\n

Sam received 9 green beads.<\/p>\n<\/div><\/div>\n\n\n\n

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\n

\ud83d\udd14 Luca’s town voted on a new speed limit. 60% of the 40 votes were in favour of the new speed limit. How many votes were in favour?<\/strong><\/p>\n\n\n\n

_____ votes<\/p>\n<\/div><\/div>\n\n\n\n

Find 60% of 40.<\/p>\n\n\n\n

The whole is 40.<\/p>\n\n\n\n

The percent is 60%.<\/p>\n\n\n\n

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

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

n \/ 40 = 60 \/ 100<\/p>\n\n\n\n

100n = 60 \u00b7 40<\/p>\n\n\n\n

100n = 2,400<\/p>\n\n\n\n

100n \u00f7 100 = 2,400 \u00f7 100<\/p>\n\n\n\n

n = 24<\/p>\n\n\n\n

24 votes were in favour of the new speed limit.<\/p>\n\n\n\n

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

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

n = 60% \u00b7 40<\/p>\n\n\n\n

n = 0.6 \u00b7 40<\/p>\n\n\n\n

n = 24<\/p>\n\n\n\n

24 votes were in favour of the new speed limit.<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

\ud83d\udd14 The students in Ernest’s grade voted to select a guest speaker. 30% of the students voted for a famous athlete. If there are 100 students in Ernest’s grade, how many students voted for the athlete?<\/strong><\/p>\n\n\n\n

_______ students<\/p>\n<\/div><\/div>\n\n\n\n

Find 30% of 100.<\/p>\n\n\n\n

The whole is 100.<\/p>\n\n\n\n

The percent is 30%.<\/p>\n\n\n\n

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

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

n \/ 100 = 30 \/ 100<\/p>\n\n\n\n

100n = 30 \u00b7 100<\/p>\n\n\n\n

100n = 3,000<\/p>\n\n\n\n

100n \u00f7 100 = 3,000 \u00f7 100<\/p>\n\n\n\n

n = 30<\/p>\n\n\n\n

30 students voted for the famous athlete.<\/p>\n\n\n\n

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

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

n = 30% \u00b7 100<\/p>\n\n\n\n

n = 0.3 \u00b7 100<\/p>\n\n\n\n

n = 30<\/p>\n\n\n\n

30 students voted for the famous athlete.<\/p>\n<\/div><\/div>\n\n\n\n

Let’s practice! \ud83d\udd8a\ufe0f<\/p>\n<\/div><\/div>\n\n\n\n

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Percents of numbers: word problems Key notes: A percent is 1 part out of 100. 1% is equal to 1\/100 or 0.01. Proportions can be used to solve percent problems. part \/ whole = percent \/ 100 Learn with an example \ud83d\udd14 Sam ordered a set of beads. He received 90 beads, and 10% ofContinue reading “K.6 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,"footnotes":""},"class_list":["post-232","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/232","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=232"}],"version-history":[{"count":11,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/232\/revisions"}],"predecessor-version":[{"id":15655,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/232\/revisions\/15655"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=232"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}