Final answer:
Caden's share of the $128 reward, given the ratio of 1:7 with Madison, is $112(c).
Step-by-step explanation:
To find out how much Caden gets from the $128 reward shared with Madison in a ratio of 1:7, we need to calculate the value of one part of the ratio and then multiply it by 7 to get Caden's share.
First, we add the parts of the ratio together: 1 + 7 = 8.
Next, to find the value of one part, we divide the total amount by the sum of the ratio parts: 128 ÷ 8 = $16.
Now, we find Caden's share by multiplying $16 (the value of one part) by 7 (Caden's part of the ratio): $16 x 7 = $112.
Therefore, Caden gets $112 (c).