Final answer:
Archie Miller and Linda Law share 214 IRA equally in the ratio of 3/3, which means they each get half of the total amount. After dividing the total by 6 (the sum of the parts of the ratio), each person gets 107.01 IRA, rounded to 107 IRA.
Step-by-step explanation:
The student's question involves dividing 214 IRA in the ratio of 3/3. This implies an equal division since both parts of the ratio are the same. To find out how much each person gets, we divide the total amount by the sum of the parts of the ratio.
First, we add the parts of the ratio together: 3 + 3 = 6 parts in total. Next, we divide the amount of money by the number of parts: 214 IRA ÷ 6 = 35.67 IRA per part.
Since Archie Miller and Linda Law share the money equally, we multiply the value per part by the number of parts each person gets:
- Archie gets: 3 parts × 35.67 IRA = 107.01 IRA
- Linda gets: 3 parts × 35.67 IRA = 107.01 IRA
Therefore, the correct answer is (a) Archie gets 107 IRA, and Linda gets 107 IRA, where we have rounded to the nearest whole number.