SOLUTION: 1.The sum of 3 consecutive odd numbers is 39. 2.The Perimeter of a rectangle is 600. The length of the rectangle is 2 more than 3 times the width. 3.Mrs. Gardner went to t

Question 262829: 1.The sum of 3 consecutive odd numbers is 39.
2.The Perimeter of a rectangle is 600. The length of the rectangle is 2 more than 3 times the width.
3.Mrs. Gardner went to the market. She purchased some lettuce heads and some tomatoes. There were 12 items purchased. She bought twice as many tomatoes as lettuce heads.
4. 3 times the first of three consecutive numbers is 4 more than 2 times the second.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
1.The sum of 3 consecutive odd numbers is 39.
let x, x+2, x+4 be the consecutive odd numbers.
x+x+2+x+4 = 39
3x+6 = 39
3x = 33
x = 11
x + 2 = 13
x + 4 = 15
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2.The Perimeter of a rectangle is 600. The length of the rectangle is 2 more than 3 times the width.
L = 3w + 2
P = 600
600 = 2L + 2W
600 = 2(3w+2) + 2w
600 = 6w + 4 + 2w
600 = 8w + 4
596 = 8w
w = 74.5
L = 225.5
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3.Mrs. Gardner went to the market. She purchased some lettuce heads and some tomatoes. There were 12 items purchased. She bought twice as many tomatoes as lettuce heads.
L + T = 12
T = 2L
L + 2L = 12
3L = 12
L = 4
T = 8
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4. 3 times the first of three consecutive numbers is 4 more than 2 times the second.
Let x, x+1, x+2 be the consecutive odd numbers.
3x = 2(x+1) + 4
3x = 2x + 2 + 4
3x = 2x + 6
x = 6
x+1 = 7
x+2 = 8
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