{"id":266,"date":"2022-04-12T10:03:41","date_gmt":"2022-04-12T10:03:41","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=266"},"modified":"2025-03-20T10:17:06","modified_gmt":"2025-03-20T10:17:06","slug":"m-3-guess-and-check-word-problems","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/m-3-guess-and-check-word-problems\/","title":{"rendered":"M.3 Guess-and-check word problems"},"content":{"rendered":"\n

Guess-and-check word problems<\/strong><\/h2>\n\n\n\n

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

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\u25b6\ufe0f A team from the college went on a science-and-maths quiz show. The science questions were worth 5 points and the maths questions were worth 6 points. The team answered a total of 8 questions and earned 44 points. How many questions did the team answer in each category?<\/strong><\/p>\n\n\n\n

____ science questions<\/p>\n\n\n\n

\u200b____ maths questions<\/p>\n<\/div><\/div>\n\n\n\n

Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 8.<\/p>\n\n\n\n

Guess #1: 6 science questions and 2 maths questions<\/p>\n\n\n\n

Find the number of questions:<\/p>\n\n\n\n

6 + 2 = 8<\/p>\n\n\n\n

Find the total number of points:<\/p>\n\n\n\n

(5 \u00d7 6) + (6 \u00d7 2) = 30 + 12 = 42<\/p>\n\n\n\n

The guess is incorrect. Try another guess.<\/p>\n\n\n\n

Guess #2: 7 science questions and 1 maths question<\/p>\n\n\n\n

Find the number of questions:<\/p>\n\n\n\n

7 + 1 = 8<\/p>\n\n\n\n

Find the total number of points:<\/p>\n\n\n\n

(5 \u00d7 7) + (6 \u00d7 1) = 35 + 6 = 41<\/p>\n\n\n\n

The guess is incorrect. Try another guess.<\/p>\n\n\n\n

Guess #3: 4 science questions and 4 maths questions<\/p>\n\n\n\n

Find the number of questions:<\/p>\n\n\n\n

4 + 4 = 8<\/p>\n\n\n\n

Find the total number of points:<\/p>\n\n\n\n

(5 \u00d7 4) + (6 \u00d7 4) = 20 + 24 = 44<\/p>\n\n\n\n

The guess is correct. The team answered 4 science questions and 4 maths questions.<\/p>\n<\/div><\/div>\n\n\n\n

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\u25b6\ufe0f Caleb made fudge brownies and peanut butter brownies. Each batch of fudge brownies makes 5 pans. Each batch of peanut butter brownies makes 3 pans. Caleb made 5 batches and ended up with 21 pans of brownies. How many batches of each type of brownie did he make?<\/strong><\/p>\n\n\n\n

____ batches of fudge brownies<\/p>\n\n\n\n

_____ batches of peanut butter brownies<\/p>\n<\/div><\/div>\n\n\n\n

Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 5.<\/p>\n\n\n\n

Guess #1: 2 batches of fudge brownies and 3 batches of peanut butter brownies<\/p>\n\n\n\n

Find the number of batches:<\/p>\n\n\n\n

2 + 3 = 5<\/p>\n\n\n\n

Find the total pans of brownies:<\/p>\n\n\n\n

(5 \u00d7 2) + (3 \u00d7 3) = 10 + 9 = 19<\/p>\n\n\n\n

The guess is incorrect. Try another guess.<\/p>\n\n\n\n

Guess #2: 1 batch of fudge brownies and 4 batches of peanut butter brownies<\/p>\n\n\n\n

Find the number of batches:<\/p>\n\n\n\n

1 + 4 = 5<\/p>\n\n\n\n

Find the total pans of brownies:<\/p>\n\n\n\n

(5 \u00d7 1) + (3 \u00d7 4) = 5 + 12 = 17<\/p>\n\n\n\n

The guess is incorrect. Try another guess.<\/p>\n\n\n\n

Guess #3: 3 batches of fudge brownies and 2 batches of peanut butter brownies<\/p>\n\n\n\n

Find the number of batches:<\/p>\n\n\n\n

3 + 2 = 5<\/p>\n\n\n\n

Find the total pans of brownies:<\/p>\n\n\n\n

(5 \u00d7 3) + (3 \u00d7 2) = 15 + 6 = 21<\/p>\n\n\n\n

The guess is correct. Caleb made 3 batches of fudge brownies and 2 batches of peanut butter brownies.<\/p>\n<\/div><\/div>\n\n\n\n

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\u25b6\ufe0f A plumber bought some pieces of copper and plastic pipe. Each piece of copper pipe was 7 metres long and each piece of plastic pipe was 5 metres long. He bought 6 pieces of pipe. The total length of the pipe was 32 metres. How many pieces of each type of pipe did the plumber buy?<\/strong><\/p>\n\n\n\n

____ pieces of copper pipe<\/p>\n\n\n\n

____ pieces of plastic pipe<\/p>\n<\/div><\/div>\n\n\n\n

Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 6.<\/p>\n\n\n\n

Guess #1: 2 pieces of copper pipe and 4 pieces of plastic pipe<\/p>\n\n\n\n

Find the number of pieces of pipe:<\/p>\n\n\n\n

2 + 4 = 6<\/p>\n\n\n\n

Find the total metres of pipe:<\/p>\n\n\n\n

(7 \u00d7 2) + (5 \u00d7 4) = 14 + 20 = 34<\/p>\n\n\n\n

The guess is incorrect. Try another guess.<\/p>\n\n\n\n

Guess #2: 4 pieces of copper pipe and 2 pieces of plastic pipe<\/p>\n\n\n\n

Find the number of pieces of pipe:<\/p>\n\n\n\n

4 + 2 = 6<\/p>\n\n\n\n

Find the total metres of pipe:<\/p>\n\n\n\n

(7 \u00d7 4) + (5 \u00d7 2) = 28 + 10 = 38<\/p>\n\n\n\n

The guess is incorrect. Try another guess.<\/p>\n\n\n\n

Guess #3: 1 piece of copper pipe and 5 pieces of plastic pipe<\/p>\n\n\n\n

Find the number of pieces of pipe:<\/p>\n\n\n\n

1 + 5 = 6<\/p>\n\n\n\n

Find the total metres of pipe:<\/p>\n\n\n\n

(7 \u00d7 1) + (5 \u00d7 5) = 7 + 25 = 32<\/p>\n\n\n\n

The guess is correct. The plumber bought 1 piece of copper pipe and 5 pieces of plastic pipe.<\/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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Guess-and-check word problems Learn with an example \u25b6\ufe0f A team from the college went on a science-and-maths quiz show. The science questions were worth 5 points and the maths questions were worth 6 points. The team answered a total of 8 questions and earned 44 points. How many questions did the team answer in eachContinue reading “M.3 Guess-and-check 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-266","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/266","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=266"}],"version-history":[{"count":15,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/266\/revisions"}],"predecessor-version":[{"id":15849,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/266\/revisions\/15849"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=266"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}