If 28 buses are required to bring the workers of a factory in a week, how many buses are required to bring the same number of workers in five days?<\/p>\n\n\n\n

Solution<\/em><\/h5>\n\n\n\n

Step I: Write the given data of buses and days.<\/h6>\n\n\n\n

Buses required to bring the workers of a factory in a week = 28<\/p>\n\n\n\n

Buses required to bring the workers of a factory in five days = x<\/p>\n\n\n\n

Step 2: Write the formula of proportion and write the data of buses & days according to the formula.<\/h6>\n\n\n\n

a : b : : c : d<\/p>\n\n\n\n

buses : days : : buses : days<\/p>\n\n\n\n

28 : 7 : : x : 5<\/p>\n\n\n\n

Step 3: Write the ratios in the form of fractions and put an equality sign between them.<\/h6>\n\n\n\n

28\/7 = x\/5<\/p>\n\n\n\n

Step 4: Simplify the above expression to find the value of x.<\/h6>\n\n\n\n

28\/7 = x\/5<\/p>\n\n\n\n

(28\/7) * 5 = x<\/p>\n\n\n\n

(4\/1) * 5 = x<\/p>\n\n\n\n

4 * 5 = x<\/p>\n\n\n\n

X = 4 * 5<\/p>\n\n\n\n

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

Hence, 20 more buses are required to bring the same number of workers.<\/p>\n\n\n\n

Buses required to bring the workers of a factory in five days = 28 + 20 =48<\/p>\n\n\n\n

Example II<\/strong><\/p>\n\n\n\n

In a wooden box, there are 30 vegetables. From these 30 vegetables, 8 are carrots, 4 are tomatoes, 6 are cabbage, and 12 are turnips. Find the ratio of:<\/p>\n\n\n\n

• Carrot to tomatoes<\/li>
• Cabbage to total vegetables<\/li>
• Turnip to tomatoes<\/li>
• Cabbage to tomatoes<\/li><\/ul>\n\n\n\n

  Solution<\/em><\/h5>\n\n\n\n

  Step I:<\/strong> First, write the number of vegetables.<\/p>\n\n\n\n

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

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

  Carrot = 8<\/p>\n\n\n\n

  Cabbage = 6<\/p>\n\n\n\n

  Turnip = 12<\/p>\n\n\n\n

  Step II:<\/strong> Now, find the ratio of carrots to tomatoes.<\/p>\n\n\n\n

  Number of carrots = 8<\/p>\n\n\n\n

  Number of tomatoes = 4<\/p>\n\n\n\n

  The ratio is<\/p>\n\n\n\n

  8 : 4 \u21d2 4 : 2 \u21d2 2 : 1<\/p>\n\n\n\n

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

  8\/4 \u21d2 4\/2 \u21d2 2\/1<\/p>\n\n\n\n

  Step III:<\/strong> Determine the ratio of cabbage to total vegetables.<\/p>\n\n\n\n

  Number of total vegetables = 30<\/p>\n\n\n\n

  Number of cabbage = 6<\/p>\n\n\n\n

  Subtract the total vegetables from cabbage to find the difference = 30 \u2013 6 = 24<\/p>\n\n\n\n

  Now, the ratio is<\/p>\n\n\n\n

  6 : 24 \u21d2 3 : 12 \u21d2 1 : 4<\/p>\n\n\n\n

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

  6 \/ 24 \u21d2 3\/12 \u21d2 1\/4<\/p>\n\n\n\n

  Step IV:<\/strong> Now, find the ratio of turnips to tomatoes.<\/p>\n\n\n\n

  Number of turnips = 12<\/p>\n\n\n\n

  Number of tomatoes = 4<\/p>\n\n\n\n

  The ratio is<\/p>\n\n\n\n

  12 : 4 \u21d2 6 : 2 \u21d2 3 : 1<\/p>\n\n\n\n

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

  12\/4 \u21d2 6\/2 \u21d2 3\/1<\/p>\n\n\n\n

  Step V:<\/strong> Now, find the ratio of cabbage to tomatoes.<\/p>\n\n\n\n

  Number of cabbage = 6<\/p>\n\n\n\n

  Number of tomatoes = 4<\/p>\n\n\n\n

  The ratio is<\/p>\n\n\n\n

  6 : 4 \u21d2 3 : 2<\/p>\n\n\n\n

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

  12\/4 \u21d2 3\/2<\/p>\n\n\n\n

  Summary<\/h2>\n\n\n\n

  You can grab all the basics of ratio and proportions from this post. We have mentioned all the basics of proportion in this post. After reading the above post, you can easily solve any kind of problem related to ratios and proportions. <\/p>\n","protected":false},"excerpt":{"rendered":"

  In algebra, the ratio and proportions is widely used to solve various kinds of mathematical problems. It is based on ratios (p: q) & fractions (p\/q). The fraction is a term or a way to write numbers in the form of p\/q, where p & q are the integers and q is not equal to […]<\/p>\n","protected":false},"author":11,"featured_media":8971,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[21],"tags":[],"class_list":["post-8605","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-elearning"],"acf":[],"yoast_head":"\n