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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?

Verified Answer :

eew07

Answer:

There are 32 cards yet to be signed.

Step-by-step explanation:

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32 Cards are left to be signed.

What is probability ?

  • The proportion of all conceivable outcomes to the number of outcomes in an exhaustive set of equally likely outcomes that result in a certain event.
  • Example -Since there is a 50% chance that the outcome will be heads, we can anticipate 50 heads.

total cards are 75,

then ,     2/5 of 75 = 30.

now left cards 75 -30 = 45

   That leaves 45 cards

        1/9 of 45 = 5 cards,

so 45 -5 = 40 ⇒ that leaves 40.

now,

          Calculate 20% of 40,

      40 × \(\frac{20}{100}\) = 8

that is 8 cards.

cards are left to be signed 40 - 8 = 32

Therefore, 32 Cards are left to be signed.

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