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?
A 4x + 3x = 324x + 3x = 32
B 4(x + 3) = 324(x + 3) = 32
C 4x + 3 = 324x + 3 = 32
D 3(x + 4) = 32

Respuesta :

Option (B) 4 ( x + 3 ) = 32 is the equation that represents the lengths of all the worms.

We are given that:

Jeffrey has 8 worms

The 4 worms in it has the length of 3 inches.

The expression would become:

Length = 4 × 3

Also, we are given that the rest 4 worms are of equal length.

Let that equal length be x

The expression becomes:

Length = 4 × x = 4 x

Also, we are given that the total length of the worms = 32 inches.

The equation becomes:

32 = 3 × 4 + 4 × x

4 ( x + 3 ) = 32

Therefore, option (B) 4 ( x + 3 ) = 32 is the equation that represents the lengths of all the worms.

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