Every month the Incredible Ice Cream Shop sends a card with a coupon

for a free ice cream treat to the members of their ice cream club who were
born in that month. The number of members and their birthday month is
shown below.
Month
Number of
Club Members
Born in the Month
Month
Number of Club Members
Born in the Month
January
6
July
24
February
12
August
11
March
18
September
18
April
14
October
14
May
10
November
27
June
13
December
33

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?
b.
What would each family member have to spend, on average, to
generate $5,000 in income before sales tax?
c.
What would each family member’s average bill be with sales
tax?

How many club members are there?

a. Multiply that by 18 * 1.055.

855

Very

Answer

To calculate the total amount spent by the family members in one year, we need to multiply the number of club members born in each month by the average amount spent by a family member and the number of months in a year.

a. Total amount spent by family members in one year:
To calculate this, we'll need to sum up the amount spent for each month.

Step 1: Calculate the total number of club members in a year.
Sum up the number of club members born in each month.
Total number of club members = (6 + 12 + 18 + 14 + 10 + 13 + 24 + 11 + 18 + 14 + 27 + 33) = 200

Step 2: Calculate the total amount spent by the family members.
Total amount spent = Total number of club members * Average amount spent by a family member * Number of months in a year

Given:
Total number of club members = 200
Average amount spent by a family member = $18
Number of months in a year = 12

Total amount spent = 200 * $18 * 12 = $43,200

Therefore, the total amount spent by the family members in one year is $43,200.

b. To find the average amount each family member needs to spend to generate $5,000 in income before sales tax, we can use the following formula:

Average amount spent per family member = Desired income / Number of club members

Given:
Desired income = $5,000
Number of club members = 200

Average amount spent per family member = $5,000 / 200 = $25

Therefore, each family member would need to spend, on average, $25 to generate $5,000 in income before sales tax.

c. To find each family member's average bill with sales tax, we need to add the sales tax to their average bill.

Average bill with sales tax = Average amount spent by a family member + (Average amount spent by a family member * Sales tax rate)

Given:
Average amount spent by a family member = $18
Sales tax rate = 5.5% or 0.055

Average bill with sales tax = $18 + ($18 * 0.055) = $18 + $0.99 = $18.99

Therefore, each family member's average bill with sales tax would be $18.99.