SOLUTION: Yuri has a board that is 98 in. long.He wishes to cut the board into two pieces so that one piece will be 10 in. longer that the other. What should the legth of each piece be?

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Question 73050: Yuri has a board that is 98 in. long.He wishes to cut the board into two pieces so that one piece will be 10 in. longer that the other. What should the legth of each piece be?
Found 2 solutions by jim_thompson5910, mathman409:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the 2 pieces will be 98 in. so it will look like
x%2By=98
And since the 2nd piece is 10 in longer
y=10%2BxSubstitute this into x%2By=98
x%2B%2810%2Bx%29=98
2x%2B10=98
2x=88
2x=44
x=22
So the shorter piece is 44 inches, use this info to find the longer piece
44%2By=98
y=54
So the two pieces are 44 in. and 54 in.
Check:
44%2B54=98
44%2B10=54 Works

Answer by mathman409(67) About Me  (Show Source):
You can put this solution on YOUR website!
A-B=10
A+B=98
SINCE THEY GAVE YOU HOW TO CONVERT A TO B, DO IT, SO YOU HAVE 1 VARIABLE IN ONE EQUATION, WITCH IS SOLVABLE
A+B=98
B+10+B=98
2B=98-10
2B=88
B=44
NOW USE B TO GET A BY SUBSUTUTING B WITH 44.
A-B=10
A-44=10
A=10+44
A=54
CHECK BY SUBSUTUTING A WITH 54 AND B WITH 44
54+44=98
98=98
A=54INCHES
B=44INCHES