Question 262829
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