A craft workshop instructor purchases a large spool of decorative ribbon of length L meter… — ACT

A craft workshop instructor purchases a large spool of decorative ribbon of length $L$ meters. She cuts the entire spool into $15$ equal-length pieces to make banners for an art project. If each piece measures $2.4$ meters, which of the following equations can be solved to find the total length $L$ , in meters, of the spool of ribbon?

$\frac{L}{15} = 2.4$ Answer
B
$15L = 2.4$
C
$L - 15 = 2.4$
D
$\frac{15}{L} = 2.4$
E
$L + 15 = 2.4$

Answer

The equation that can be solved to find the total length

L

\frac{L}{15} = 2.4

When a total quantity

L

is divided equally into

15

pieces, the length of each individual piece is found by dividing

L

15

. Setting this quotient equal to the given single piece length of

2.4

meters yields

\frac{L}{15} = 2.4

Step-by-Step Solution

Identify the relationship between total length, number of pieces, and length per piece.

Total Length

\div

Number of Pieces

=

Length per Piece

Dividing a total quantity into equal parts corresponds to mathematical division.

Substitute the given values and variables into the relationship.

\frac{L}{15} = 2.4

The total length is represented by

L

, the number of pieces is

15

, and each piece is

2.4

meters long.

Key Concept

Translating equal sharing or division word problems into one-step linear equations

Estimated Time:1m 0s

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