Translate the 4 statements below into mathematical equations. Each equation should contain only one variable.?

Question

Translate the 4 statements below into mathematical equations. Each equation should contain only one variable. DO NOT SOLVE.

The sum of 3 consecutive odd numbers is 39.

The Perimeter of a rectangle is 600. The length of the rectangle is 2 more than 3 times the width.

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.

3 times the first of three consecutive numbers is 4 more than 2 times the second.

Answer 1

[22]
1)x+x+2+x+4=39
2)2(w+3w+2)=600
3)x+2x=12
4)3x=2(x+1)+4

Answer 2

The sum of 3 consecutive odd numbers is 39.
x+(x+2)+(x+4)=39


The Perimeter of a rectangle is 600. The length of the rectangle is 2 more than 3 times the width.
2(w+(3w+2))=600

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.
t+2t=12

3 times the first of three consecutive numbers is 4 more than 2 times the second.

3(x+x+1+x+2)=2(x+1)+4

Answer 3

1. Odd numbers are 1,3,5,7,9... Notice that each number increases by 2

Let x = lowest number
Then x+2 = second number in sequence
x+4 = third number

x+x+2+x+4 = 39

2. Let x=width
Then 2+3x= length
The formula for Perimeter of a rectangle is P=2L+2W
So 600 = 2(2+3x) + 2x

3. Let x= # of lettuce heads
Then 2x=# of tomatoes
x+2x=12

4. Let x=first number
Then x+1 = second number
x+2 = third number

3x = 4 + 2 (x+1)

Answer 4

sum of 3 consecutive odd numbers = 39
x+(x+2)+x+4) = 39

p of a rectangle is 600...
2w+2(3w+2)=600

lettuce and tomatos...
l + 2l = 12

consecutive numbers
3x=2(x+1)+4

Answer 5

1) n + (n+2) + (n+4) = 39
2) P = l*w = 600, l = 3w + 2, therefore, (3w+2)*w = 600.
3) lettuce heads = L, tomatoes = T, T = 2L, and L + T = 12, so 3L =T, or 1.5T = 12.

4) 3n = [2(n+1)]+4

Answer 6

The sum of 3 consecutive odd numbers is 39.

x = 2n+1

(2n+1) + (2n+3) +(2n+5) = 39

..................

2L + 2W = 600
L = 3W +2

.........
T + L = 12
T = 2L

..........

3*(n) = 2(n+1) + 4

Answer 7

x + (x+2) + (x+4) = 39

2w+2(3w+2) = 600

L + 2L = 12

3x = 2(x+2) + 4