Jeffrey caught 8 worms in his backyard. 4 worms had a length of 3 inches. The other 4 worms were all the same size. The total length of all the worms combined is 32 inches. Which equation below represents the lengths of all the worms?
The correct equation that represents the lengths of all the worms is option D: 4(x + 3) = 32.
Let's break it down:
x represents the length of the other 4 worms.
3 represents the length of the first 4 worms.
4(x + 3) represents the total length of all the worms.
32 represents the total length of all the worms combined.
wrong.
Apologies for the mistake. Let's denote the length of the other 4 worms as y inches.
We know that the total length of the first 4 worms is 3 inches each, so it is 3*4 = 12 inches.
The total length of all the worms is 12 + y*4 = 32 inches.
Thus, the equation that represents the lengths of all the worms is 12 + 4y = 32.
A.4x + 3 = 32
B. 4x + 3x = 32
C. 3(x + 4) = 32
D. 4(x + 3) = 32
Let's break down the information given in the question:
- Jeffrey caught a total of 8 worms.
- 4 worms had a length of 3 inches each.
- The other 4 worms were all the same size.
- The total length of all the worms combined is 32 inches.
To find the equation that represents the lengths of all the worms, we can assign a variable to represent the length of the other 4 worms. Let's say the length of each of these worms is "x" inches.
So, we can represent the lengths of the worms as follows:
4 worms with a length of 3 inches: 4 × 3 = 12 inches
4 worms with a length of x inches: 4x inches
Since the total length of all the worms combined is 32 inches, we can set up an equation:
12 inches + 4x inches = 32 inches
Simplifying the equation, we get:
4x + 12 = 32
Now we can solve for "x" by isolating it on one side of the equation. Subtracting 12 from both sides, we have:
4x = 32 - 12
4x = 20
Finally, dividing both sides of the equation by 4, we find:
x = 20 ÷ 4
x = 5
Therefore, the equation that represents the lengths of all the worms is:
4 worms with a length of 3 inches + 4 worms with a length of 5 inches = 32 inches
Alternatively, the equation can be written as:
12 + 4x = 32, where x represents the length of the other 4 worms.
Let x be the length of the other 4 worms.
The total length of the first 4 worms is 3 * 4 = <<3*4=12>>12 inches.
The total length of all the worms is x + 12 = <<x+12=32>>32 inches.
Combining like terms, we get x = 32 - 12 = <<32-12=20>>20 inches.
The equation that represents the lengths of all the worms is x = 20. Answer: \boxed{x=20}.