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 signed 20% of what Josh had left. If there were 75 cards in all, how many cards are left to be signed? There are____ cards yet to be signed.

Mathematics · High School · Tue Nov 03 2020

llm

Answered on Tue May 31 2022

Given :

Emily signed 2/5 of total cards

So, Cards signed by emily = 2/5 × 75

= 30 cards

Now, remaining cards = 75 - 30 = 45 cards

Now, josh signed 1/9 of the remaining cards

So, 1/9 × 45 = 5 cards

Remaining cards = 45 - 5 = 40 cards

Now, josh signed 20% of the remaining cards

= 20/100 × 40

= 8 cards

So, remaining cards = 40 - 8 = 32 cards

Hence, There are 32 cards cards yet to be signed.