Mathematics Games - MathHelp.com - 1000+ Online Math Lessons - By MathHelp.com
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| 00:0-1 | The following is a selected video from your teacher.com where | |
| 00:03 | you can browse over 450 complete math lessons with example | |
| 00:07 | videos , interactive practice problems , self tests and more | |
| 00:11 | . Try a complete lesson today at your teacher dot | |
| 00:14 | com . A piece of string that is 63 long | |
| 00:24 | is cut into three parts such that the lengths of | |
| 00:27 | the parts of the string are in the ratio 5-6-10 | |
| 00:32 | . Find the lengths of the three parts . Since | |
| 00:36 | the three parts of the string are in the ratio | |
| 00:40 | 5-6 to 10 We can represent the parts as five | |
| 00:45 | X . Six X . And 10 X . So | |
| 00:53 | let's call five X . Our first part of the | |
| 00:56 | string . Yeah mm . Mhm . And six X | |
| 01:02 | . Our second part . Mhm . And 10 x | |
| 01:09 | . Our 3rd part . Yeah . Mhm . Mhm | |
| 01:15 | . Now since we know that the original piece of | |
| 01:17 | string with 63 long are three parts must add to | |
| 01:23 | 63 so we can set up the equation five X | |
| 01:30 | mm Plus six x plus 10 x equals 63 . | |
| 01:38 | Simplifying on the left side gives us 21 x equals | |
| 01:44 | 63 And dividing both sides by 21 . Mhm X | |
| 01:51 | equals three . So the length of the first part | |
| 01:57 | of the string five X . Is five times three | |
| 02:02 | or 15 inches and the length of the second part | |
| 02:10 | of the string six X . Is six times three | |
| 02:14 | or 18 inches and the length of the third part | |
| 02:21 | of the string 10 X . Is 10 times three | |
| 02:26 | or 30 inches . Yeah . Yeah . Finally make | |
| 02:37 | sure to check the answer back in the original problem | |
| 02:41 | to see if it makes sense in this case 15 | |
| 02:45 | plus 18 plus 30 equals 63 . So our answer | |
| 02:51 | checks . |
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