Identify the equation that best describes the following information: Josie has three times as many pencils as Marcy. Marcy has 12 pencils.(1 point)

Responses

j3=12
Start Fraction j over 3 End Fraction equals 12

j=123
j equals Start Fraction 12 over 3 End Fraction

3j=12
3 j equals 12

3j=12

1 answer

To find the equation that best describes the information given:

  1. Let \( j \) be the number of pencils Josie has.
  2. According to the information, Josie has three times as many pencils as Marcy, who has 12 pencils.

This can be represented as:

\[ j = 3 \times 12 \]

or simplified to:

\[ j = 36. \]

However, the alternative description with the same relationship can be expressed as:

\[ 3j = 12, \]

indicating that if Marcy had one third of Josie's pencils, then Marcy would have 12, which matches the original condition.

Therefore, the correct equation is:

3j = 12.