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?
Responses
D 4(x + 3) = 32
Let x represent the length of the other 4 worms.
The equation representing the lengths of all the worms is:
4(3) + 4x = 32
A 4x + 3 = 324x + 3 = 32
B 4x + 3x = 324x + 3x = 32
C 3(x + 4) = 323(x + 4) = 32
D 4(x + 3) = 32
Let's break down the information given step by step to find the equation that represents the lengths of all the worms.
1. Jeffrey caught 8 worms in his backyard.
This tells us that the total number of worms is 8.
2. 4 worms had a length of 3 inches.
This means that there are 4 worms with a length of 3 inches each. So, the total length of these 4 worms is 4 * 3 = 12 inches.
3. The other 4 worms were all the same size.
Since the remaining 4 worms are all the same size, let's represent their length by the variable "x". So, each of these worms has a length of "x" inches.
4. The total length of all the worms combined is 32 inches.
This gives us the total length equation:
12 inches (from the 4 worms with a length of 3 inches) + 4x (from the 4 worms with length "x") = 32 inches.
Therefore, the equation that represents the lengths of all the worms is:
12 + 4x = 32.