Final answer:
Colin earned $17.5 on Friday, $35 on Saturday, and $17.5 on Sunday.
Step-by-step explanation:
To solve this problem, we can start by assigning variables to represent the amount Colin earned on each day. Let's say he earned x dollars on Friday. Since he earned twice as much on Saturday as he did on Friday, we can represent his Saturday earnings as 2x. Finally, since he earned half as much on Sunday as he did on Saturday, we can represent his Sunday earnings as (2x)/2 or x dollars.
Now, we can set up an equation to represent the total amount Colin earned over the three days. We know that the sum of his earnings on Friday, Saturday, and Sunday is $70. So, we can write the equation: x + 2x + x = 70.
Combining like terms, we have 4x = 70. Dividing both sides of the equation by 4, we find that x = 17.5. This is the amount Colin earned on Friday. To find his earnings on Saturday and Sunday, we can substitute this value back into our expressions. Colin earned 2x = 2 * 17.5 = 35 dollars on Saturday, and x = 17.5 dollars on Sunday. Therefore, Colin earned $17.5 on Friday, $35 on Saturday, and $17.5 on Sunday.