SOLUTION: Giao wants to construct a picture frame made of wooden pieces that are 7 centimeters and 3 centimeters in length. He needs 20 pieces, and the total perimeter of the frame needs to

Question 181512: Giao wants to construct a picture frame made of wooden pieces that are 7 centimeters and 3 centimeters in length. He needs 20 pieces, and the total perimeter of the frame needs to be 108 centimeters. If Giao cuts eight 3 centimeter pieces first and is left with 0.8 meter of wood, will he have enough wood to cut the 7 centimeter pieces?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a picture frame made of wooden pieces that are 7 centimeters and 3 centimeters
in length. He needs 20 pieces, and the total perimeter of the frame needs to
be 108 centimeters. If Giao cuts eight 3 centimeter pieces first and is left
with 0.8 meter of wood, will he have enough wood to cut the 7 centimeter pieces?
:
Find the no. of pieces of each required:
Let x = no. of 7 cm pieces
Let y = no. of 3 cm pieces
:
The total no. of pieces equation:
x + y = 20
y = (20-x); for substitution
:
The total length of these pieces:
7x + 3y = 108
:
Substitute (20-x) for y
7x + 3(20-x) = 108
;
7x + 60 - 3x = 108
:
7x - 3x = 108 - 60
:
4x = 48
x =
x = 12 ea 7 cm pieces
then
20 - 12 = 8 ea 3 cm pieces
:
"left with .8 m, will he have enough wood to cut the 7 centimeter pieces?"
:
.8 m = 80 cm
:
80 - (12 * 7) =
80 - 84 = -4, obviously, he won't
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