Ava made 100 paper cranes, and Brittany made 3/4 of the number of paper cranes Ava made. Ava gave 9/20 of her paper cranes to Brittany. Then, Brittany gave 1/4 of her paper cranes to Ava. How many more paper cranes did Brittany have than Ava in the end?

I hate math

Brittany made 75 at the first (100*3/4)

After Ava gave her, Brittany had 120 (75+(9/20*100))

After Brittany gave Ava, Ava had 85 (55+(25%*120))

At the end Brittany had 90 and Ava had 85, so she 5 more

The answer should be 30.

I apologize for the incorrect previous response. Let's go through the calculations again.

Ava made 100 paper cranes.
Brittany made 3/4 of the number of paper cranes Ava made, which is (3/4) * 100 = 75 cranes.

Ava gave 9/20 of her paper cranes to Brittany, which is (9/20) * 100 = 45 cranes.

After Ava gave 45 cranes to Brittany, Ava had 100 - 45 = 55 cranes.
Brittany had 75 + 45 = 120 cranes.

Then, Brittany gave 1/4 of her paper cranes to Ava, which is (1/4) * 120 = 30 cranes.

After Brittany gave 30 cranes to Ava, Ava had 55 + 30 = 85 cranes.
Brittany had 120 - 30 = 90 cranes.

Therefore, Brittany had 90 - 85 = 5 more paper cranes than Ava in the end.

Ava 100

Brittany 75

Ava 100 - (9/20)100 = 100 - 45 = 55
Brittany 75+55 = 130

Ava = 55 + (1/4)130 = 55+32.5 = 67.5
Britanny = 130 -32.5 = 97.5

97.5 - 67.5 = 30 more