Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

A 20-inch board is to be cut into three pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces?

first piece ----
second piece----
Third piece----

Sagot :

konrad509
1st piece - x
2nd piece - 4x
3rd piece - 5x

[tex]x+4x+5x=20\\ 10x=20\\ x=2\\ 4x=4\cdot2=8\\ 5x=5\cdot2=10 [/tex]

1st piece - 2 in
2nd piece - 8 in 
3rd piece - 10 in
AL2006
First piece = one time
Second piece = 4 times
Third piece = 5 times

Total board before cutting:   10 times = 20 inches.

Divide each side by 10:    1 time = 2 inches

First piece (x) = 1 time = 2 inches
Second piece = 4 times = 8 inches
Third piece = 5 times=10 inches.

Check:
Total length of all 3 pieces = (2 + 8 + 10) = 20 inches    yay!
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.