SOLUTION: Translate the following problems into algebraic equations :
1)Tom’s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards
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Question 135175: Translate the following problems into algebraic equations :
1)Tom’s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side?
2)A girl buys three apples and seven oranges for $4.56. If an orange costs $0.28 more than an apple, how much does each fruit cost?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
let x=longest side
"The shortest side is 30 yards longer than one-half of the longest side"
__ (x/2)+30
"The second longest side is 2 yards shorter than the longest side"
__ x-2
"The perimeter fence that surrounds the land measures 378 yards"
__ x+(x/2)+30+x-2=378
let x=apple
"an orange costs $0.28 more than an apple" __ x+.28
" three apples and seven oranges for $4.56" __ 3x+7(x+.28)=4.56 __ 3x+7x+1.96=4.56 __ 10x+1.96=4.56
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