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

Answer:

Total 32 card are left.

Step-by-step explanation:

The total number of cards is 75.

It is given that Emily signed  $\frac{2}{5}$  of the total cards.

Remaining part is

$1-\frac{2}{5}=\frac{5-2}{5}=\frac{3}{5}$

It means the remaining cards are $\frac{3}{5}$ of total card.

$\frac{3}{5}\times 75=45$

Remaining cards after emily sign are 45.

Josh signed 1/9 of the remaining cards. The remaining cards are $\frac{8}{9}$ of total 45. So, the number of remaining cards after josh sign is

$\frac{8}{9}\times 45=40$

Remaining cards after josh sign are 40.

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

$40\times \frac{80}{100}=32$

Therefore total remaining cards are 32.