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 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
a.
18 * 1.055 * 12 = $______ in one year
b.
Each family member or each family?
Is this supposed to be for one year?
b. Each family member for the year?
We don't know how many people are in each family.
Check with your teacher.
a. To find the total amount spent by family members in one year, we need to consider that 90% of all club members brought along a family member.
Let's assume there are a total of x club members in the ice cream club.
Since 90% of the members bring a family member, the number of family members visiting the shop can be calculated as 0.9x.
Now, we know that each family member spends an average of $18 in the shop. So, the total amount spent by family members in one visit can be calculated as 18 * 0.9x = 16.2x.
Since we need to calculate the total amount spent in one year, we need to consider 12 months. Therefore, the total amount spent by family members in one year would be 12 * 16.2x = 194.4x.
b. To determine how much each family member would have to spend, on average, to generate $5,000 in income before sales tax, we need to consider the income before sales tax and the number of family members visiting the shop.
The income before sales tax is $5,000, and if we assume each family member spends an average of y dollars, then the total income would be 12 * 0.9x * y = 10.8xy.
Since we want the income to be $5,000, we can set up the equation 10.8xy = 5000 and solve for y.
c. To calculate each family member's average bill with sales tax, we need to consider the average bill amount and the sales tax.
The average bill amount without sales tax is $18.
The tax on their bill is 5.5%, so we need to add 5.5% of the average bill amount to the average bill.
To calculate the tax amount, we can multiply the average bill amount by 5.5% (0.055). The tax amount is 0.055 * 18 = $0.99.
Therefore, each family member's average bill with sales tax would be $18 + $0.99 = $18.99.