Question

The smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards then josh signed 1/9 of the remaining cards tatiana singed 20% of what josh had left if there were 75 cards in all how many cards are left

Answer 1

Total 32 card are left.

Explanation:

The total number of cards is 75.

It is given that Emily signed
`(2)/(5)` of the total cards.

Remaining part is

`1-(2)/(5)=(5-2)/(5)=(3)/(5)`

It means the remaining cards are
`(3)/(5)` of total card.

`(3)/(5)* 75=45`

Remaining cards after emily sign are 45.

Josh signed 1/9 of the remaining cards. The remaining cards are
`(8)/(9)` of total 45. So, the number of remaining cards after josh sign is

`(8)/(9)* 45=40`

Remaining cards after josh sign are 40.

Tatiana singed 20% what josh had left. The remaining cards are 80% of total 40.

`40* (80)/(100)=32`

Therefore total remaining cards are 32.