Answer:
Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.
Step-by-step explanation:
We know that the dive results in 40 gold coins.
We know that:
Alice: $7,600 Ben: $5,900 Carlos: $1,400.
So they have $ 14900 in total.
Now we will divide that money by 40.
[tex]x=\frac{14900}{40}\\\\x=372.5[/tex]
So 1 gold coin costs $ 372.5. Now we will calculate how much they can get for the money they have.
[tex]A=\frac{7600}{372.5}=20.4\\\\B=\frac{5900}{372.5}=15.8\\\\C=\frac{1400}{372.5}=3.75\\[/tex]
We conclude that:
Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.