The manager of the ice cream shop noticed that 90% of all club
members brought along a family member who spent an average
of $18 in the shop. The tax on their bill was 5.5%.
a.
What was the total amount spent by the family members in one
year?
200×.90=180
180×18=3,240
To find the total amount spent by family members in one year, we need to determine the total number of club members and multiply it by the average amount spent per family member.
Let's assume there are 100 club members for simplicity.
Step 1: Calculate the total amount spent per family member per year
Total amount spent per family member = Average amount spent per family member x (1 + tax rate)
Total amount spent per family member = $18 x (1 + 0.055) = $18 x 1.055 = $18.99 (approximated to two decimal places)
Step 2: Calculate the total amount spent by all family members in one year
Total amount spent by all family members = Total amount spent per family member x Total number of club members
Total amount spent by all family members = $18.99 x 100 = $1899 (approximated to two decimal places)
Therefore, the total amount spent by the family members in one year is approximately $1899.
To find the total amount spent by the family members in one year, we need to consider the 90% of club members who brought along a family member and the average amount spent by each family member.
Step 1: Calculate the average spending per family member after tax.
Since the tax rate is 5.5%, we can calculate the pre-tax spending by dividing the average spending after tax by (100% + tax rate). In this case, the pre-tax spending is $18 divided by 1.055.
Pre-tax spending per family member = $18 / 1.055
Step 2: Calculate the total spending by multiplying the pre-tax spending per family member by the number of family members.
To get the total spending, we need to multiply the average spending by the number of family members. In this case, we need to multiply the pre-tax spending per family member by 90%, which represents the percentage of club members who brought a family member.
Total spending = (Pre-tax spending per family member) * (Number of family members)
Using the given information, let's calculate the total spending by plugging in the values to the formula:
Total spending = ($18 / 1.055) * (90%)
Total spending = ($18 / 1.055) * (0.9)
Now, you can calculate the total spending by substituting the values into the formula.
a. no way to tell, without knowing how many members in the club, or how many times they went shopping in a year.
All we know is that some people spent about $18*1.055 each. Big deal.