wilson bought gift cards for some lawyers and their assistants. each lawyer got a gift card worth $l. each assistant got a gift card worth $a. there are 14 lawyers. each lawyer has 3 assistants. the expression for the total cost of the gift cards is 14l + 42a. write an expression that is equivalent to the given expression.

Respuesta :

Im pretty sure it would be 64la

Answer:

[tex]14(l+3a)[/tex]

Step-by-step explanation:

We have been given an expression [tex]14l+42a[/tex] that represents the total cost of the gift cards for 14 lawyers and their 14*3=42 assistants. We are asked to write an expression that is equivalent to the given expression.

To write an equivalent expression, we will factor out the greatest common factor of our given expression.

We know that greatest common factor of 14 and 42 is 14.

[tex]14(l+3a)[/tex]

Therefore, the expression [tex]14(l+3a)[/tex] is equivalent to the given expression.