Question

The Smiths are sending out a batch of holiday cards. Emily signed 25 of the cards. Then Josh signed 19 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?

Answer 1

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

Answer 2

Tatiana signed 15 cards so there were, 16 cards left.