Question

Lee is sending out 32 birthday party invitations. She gives 5 invitations to her mom to give to family members. Lee mails a third of the rest, and then she takes a break to walk her dog.
a. Write a numerical expression to describe how many invitations Lee has already mailed.b. Which expression matches how many invitations still need to be sent out?
1) 32 - 5 - 1/3(32 - 5)
2) 2/3 x 32 - 5
3) (32 - 5):1/3
4) 1/3x(32-5)

Answer 1

Answer:

a. $\frac{1}{3}(32-5)$

b. $32 - 5 - \frac{1}{3}( 32 - 5 )$

Step-by-step explanation:

a. Given,

The total invitation to send out initially = 32,

The number of invitation send to mother = 5,

So, remaining invitation = 32 - 5

Again, the invitation which are already mailed

= 1/3 of the remaining invitation,

$=\frac{1}{3}(32-5)$

b. Thus, the final number of invitation which need to send out

= Remaining invitation after giving to mother - invitation which are mailed

$= 32 - 5 - \frac{1}{3}( 32 - 5 )$

OPTION 1) is correct.

Answer 2

Answer:

(a) $\frac{32-5}{3}$; 9 mails.

(b) (1). $32-5-\frac{1}{3}(32-5)$

Step-by-step explanation:

We have been given that Lee is sending out 32 birthday party invitations. She gives 5 invitations to her mom to give to family members. The invitations left after 5 invitations would be $32-5$.

Lee mails a third of the rest. The number of invitations sent by Lee would be $\frac{32-5}{3}$.

$\text{Invitations mailed by Lee}=\frac{32-5}{3}$

$\text{Invitations mailed by Lee}=\frac{27}{3}$

$\text{Invitations mailed by Lee}=9$

Therefore, Lee has already mailed 9 invitations.

(b). To find the number of invitations that still need to be sent out, we will subtract the number of mails sent by Lee and her mother from 32 invitations.

$\text{Number of invitations that still need to be sent out}=32-5-\frac{1}{3}(32-5)$

Therefore, our required expression would be $32-5-\frac{1}{3}(32-5)$ and 1st option is the correct choice.