Respuesta :
Answer: There are 32 cards left to be signed
Step-by-step explanation:
Hi, the correct question is:
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?
So, to answer this question:
Emily signed 2/5: so, we have to multiply the number of cards (75) by the amount that she signed:
- 75 x 2/5 = 30
Then, we subtract the result to the total amount of cards:
- 75-30 =45 cards left to be signed
Repeating the process with Josh (now the total number of cards is 45)
- 45x 1/9= 5
- 45-5= 40
And finally we repeat the process with Tatiana ( using the decimal form of 20% ⇒ 20/100= 0.2)
- 40x 0.2=8
- 40-8 = 32 cards left to be signed
Answer:
Step-by-step explanation:
Let x be the number of cards
Given:
Emily = 2/5 of x
Josh, Tj = 1/9 × (1 - 2/5 × x)
Tatiana = 20/100 × (1 - Tj)
Therefore, x = 75
Emily signed = 2/5 × 75
= 30
Card left unsigned = 75 - 30
= 45
Josh signed = 1/9 × 45
= 5
Card left unsigned = 45 - 5
= 40
Tatiana signed = 1/5 × 40
= 8
Card left unsigned = 40 - 8
= 32
Cards not signed = 32
