{"id":236,"date":"2022-04-12T09:58:24","date_gmt":"2022-04-12T09:58:24","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=236"},"modified":"2025-02-17T06:14:32","modified_gmt":"2025-02-17T06:14:32","slug":"k-8-solve-percent-equations-word-problems","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/k-8-solve-percent-equations-word-problems\/","title":{"rendered":"K.8 Solve percent equations: word problems"},"content":{"rendered":"\n

Solve percent equations: word problems<\/strong><\/h2>\n\n\n\n

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

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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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\u27a1\ufe0f The students in Emily’s grade voted to select a guest speaker. 20 students voted for a famous athlete. The other 80 students in Emily’s grade voted for a famous actor. What percentage of the students voted for the athlete?<\/strong><\/p>\n<\/div><\/div>\n\n\n\n

Find the total number of students.<\/p>\n\n\n\n

20 + 80 = 100<\/p>\n\n\n\n

The part is 20.<\/p>\n\n\n\n

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

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

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

20 \/ 100 = n \/ 100<\/p>\n\n\n\n

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

2,000 = 100n<\/p>\n\n\n\n

2,000 \u00f7 100 = 100n \u00f7 100<\/p>\n\n\n\n

20 = n<\/p>\n\n\n\n

20% of the 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

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

20 = 100n \/ 100<\/p>\n\n\n\n

20 = n<\/p>\n\n\n\n

20 \u00f7 1 = n \u00f7 1 <\/p>\n\n\n\n

20 = n<\/p>\n\n\n\n

20% of the students voted for the famous athlete.<\/p>\n<\/div><\/div>\n\n\n\n

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\u27a1\ufe0f At the craft store, Duncan bought a bag of yellow and orange marbles. He received 39 yellow marbles and 13 orange marbles. What percentage of the marbles were yellow?<\/strong><\/p>\n<\/div><\/div>\n\n\n\n

Find the total number of marbles.<\/p>\n\n\n\n

39 + 13 = 52<\/p>\n\n\n\n

The part is 39.<\/p>\n\n\n\n

The whole is 52.<\/p>\n\n\n\n

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

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

39 \/ 52 = n \/ 100<\/p>\n\n\n\n

39 \u00b7 100 = 52n<\/p>\n\n\n\n

3,900 = 52n<\/p>\n\n\n\n

3,900 \u00f7 52 = 52n \u00f7 52<\/p>\n\n\n\n

75 = n<\/p>\n\n\n\n

75% of the marbles were yellow.<\/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

39 = n \/100 . 52<\/p>\n\n\n\n

39 = 52n \/ 100<\/p>\n\n\n\n

39 = 0.52n<\/p>\n\n\n\n

39 \u00f7 0.52 = 0.52n \u00f7 0.52<\/p>\n\n\n\n

75 = n<\/p>\n\n\n\n

75% of the marbles were yellow.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n

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\u27a1\ufe0f This morning, Elise took a history test. She got 3 out of 4 problems right. What percentage did Elise get right?<\/strong><\/p>\n<\/div><\/div>\n\n\n\n

Find what percentage 3 is of 4. The part is 3.<\/p>\n\n\n\n

The whole is 4.<\/p>\n\n\n\n

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

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

3 \/ 4 = n \/100<\/p>\n\n\n\n

3 \u00b7 100 = 4n<\/p>\n\n\n\n

300 = 4n<\/p>\n\n\n\n

300 \u00f7 4 = 4n \u00f7 4<\/p>\n\n\n\n

75 = n<\/p>\n\n\n\n

3 \u00b7 100 = 4n<\/p>\n\n\n\n

300 = 4n<\/p>\n\n\n\n

300 \u00f7 4 = 4n \u00f7 4<\/p>\n\n\n\n

75 = n<\/p>\n\n\n\n

Elise got 75% of the questions right.<\/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

3 = n \/ 100 . 4<\/p>\n\n\n\n

3 = 4n \/ 100<\/p>\n\n\n\n

3 = 0.04n<\/p>\n\n\n\n

3 \u00f7 0.04 = 0.04n \u00f7 0.04<\/p>\n\n\n\n

75 = n<\/p>\n\n\n\n

Elise got 75% of the questions right.<\/p>\n<\/div><\/div>\n\n\n\n

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

<\/p>\n\n\n\n

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\"\"<\/a><\/figure>\n<\/div>\n\n\n\n
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\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Solve percent equations: 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 \u27a1\ufe0f The students in Emily’s grade voted to select a guest speaker. 20 studentsContinue reading “K.8 Solve percent equations: 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-236","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/236","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=236"}],"version-history":[{"count":11,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/236\/revisions"}],"predecessor-version":[{"id":15660,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/236\/revisions\/15660"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=236"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}