Answer: 180 paperclips.
Step-by-step explanation:
Let be "x" the number of paperclips Antonio had and "y" the number of paperclips Abby had.
We know that Antonio and Abby had the same number of paperclips. This can be expressed as:
[tex]x=y[/tex]
After Antonio gave 30 paperclips to Abby, she had twice as many paperclips as Antonio. This is:
[tex]x+30=2(y-30)[/tex]
Substitute the first equation into the second equation and solve for "y":
[tex]y+30=2(y-30)\\\\y+30=2y-60\\\\30+60=y\\\\y=90[/tex]
Since both had the same number of paperclips, we must multiply the value obtained by 2 in order to find the number paperclips they had in all.
Then:
[tex]Total=90*2=180[/tex]
