Ava made 100 paper cranes, and Brittany made 3/4 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 cranes did Brittany have than Ava in the end?
3/4 of 100 is 75. 9/20 of 100 is 45 so she gave 45 cranes to Brittany which means Ava has 55 cranes now. 75+45=120. 1/4 of 120 is 30 so she gave 30 to Ava so Brittany now has 90. 90-55=35, so the answer is 35 cranes.
To find out how many more cranes Brittany had than Ava in the end, we need to calculate the number of cranes for each person.
First, let's determine how many paper cranes Brittany made. We know that Brittany made 3/4 of the number of cranes Ava made. Since Ava made 100 cranes, the number of cranes Brittany made is (3/4) * 100 = 75 cranes.
Next, Ava gave 9/20 of her paper cranes to Brittany. To calculate the number of cranes Ava gave, we multiply 9/20 by the total number of Ava's cranes. So, Ava gave (9/20) * 100 = 45 cranes to Brittany.
After Ava gave 45 cranes to Brittany, Ava ended up with 100 - 45 = 55 cranes.
Lastly, Brittany gave 1/4 of her cranes to Ava. To find out how many cranes Brittany gave, we multiply 1/4 by the total number of Brittany's cranes. So, Brittany gave (1/4) * 75 = 18.75 ≈ 19 cranes to Ava.
After Brittany gave 19 cranes to Ava, Brittany ended up with 75 - 19 = 56 cranes.
To determine how many more cranes Brittany had than Ava in the end, we subtract Ava's number of cranes from Brittany's number of cranes: 56 - 55 = 1.
Therefore, Brittany had 1 more crane than Ava in the end.