Joanna initially had 40 gumballs and Jacques had 60 gumballs, so together they had 40 + 60 = 100 gumballs.
They each purchased 4 times the number of gumballs they initially had, so Joanna purchased 4 * 40 = 160 gumballs.
Jacques purchased 4 * 60 = 240 gumballs.
So, after purchasing more gumballs, Joanna had a total of 40 + 160 = 200 gumballs.
And Jacques had a total of 60 + 240 = 300 gumballs.
When they combined their gumballs, they had a total of 200 + 300 = 500 gumballs.
When they shared them equally, each of them received 500 / 2 = 250 gumballs.
#### 250
The answer is: 250
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
If Joanna initially had 40 gumballs and Jacques had 60 gumballs in their dishes, and they each purchased 4 times the number of gumballs they had initially and combined them, how many gumballs did each of them receive when they shared them equally?

### Answer:
