To solve this problem, we need to determine the spending per family member and then use that to calculate the total spending for a larger family.
1. Determine the spending per family member for the initial family of 3 members:
- The total monthly spend is [tex]$4,000.
- There are 3 family members.
- Spending per member is calculated by dividing the total spending by the number of family members:
\[
\text{Spending per member} = \frac{4000}{3} = 1333.\overline{33}
\]
2. Calculate the total spending for the new family of 6 members:
- We know that each family member spends $[/tex]1,333.33 (approximating to two decimal places).
- To find the total spending for the family with 6 members, we multiply the spending per member by the number of family members:
[tex]\[
\text{Total spending for 6 members} = 1333.\overline{33} \times 6 = 8000
\][/tex]
Therefore, a family of 6 members will spend $8,000 a month.
