1. 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 than the other. What should the length of each piece be?
2. The Randolphs used 12 more gal of fuel oil in October than in September and twice as much oil in November as in September. If they used 132 gal for the 3 months, how much was used during each month?
Originally Posted by Patience
The length of the shorter piece is x, then the longer piece is x+10. Together they are 98'' long:
x + (x+10) = 98
2x + 10 = 98
2x = 88
x = 44''
One piece is 44'' long, the other 54'', together 98''
Usage of oil in September: x
Usage of oil in October: x+12
Usage of oil in November: 2x
together 132 gallons:
x + (x+12) + 2x = 132
4x + 12 = 132
4x = 120
x = 30
Usage of oil in September: 30 gal.
Usage of oil in October: 42 gal.
Usage of oil in November: 60 gal.