Question

A)

As a promotional offer, a new gym is offering a 30% discount to those who sign

up in the first month. Patty and her 2 siblings take advantage of the offer and

sign up for total amount of £210. What were the total savings made? Show your work


B) Work out the average savings per person. "

Answer 1

they are 3 so they pay 3 subscriptions

with discount everyone pays 210-(210*30)/100=$147

without the promotion the total amount was 210*3=$630

with the promotion the total amount is 147*3=$441

total amount saved: 630-441=$189

average saving per person: 189/3=$63

Explanation:

Answer 2

Answer: the total savings made were £90, and the average savings per person were £30.

Explanation:

A) Total Savings Made

1. Original Price: Let's assume the original price for all three people (Patty and her 2 siblings) to sign up is \( X \).

2. Discounted Price: The discounted price is given as £210.

3. Discount Rate: The discount rate is 30%.

The formula to find the original price from the discounted price is:

`\[\text{Discounted Price} = \text{Original Price} * \left(1 - \frac{\text{Discount Rate}}{100}\right)\]`

Substituting the given values:

`\[210 = X * \left(1 - (30)/(100)\right)\]\[210 = X * 0.7\]\[X = (210)/(0.7)\]\[X = 300\]`

So, the original price for all three people to sign up was £300.

Total Savings: The total savings made would be the original price minus the discounted price:

`\[\text{Total Savings} = 300 - 210\]\[\text{Total Savings} = 90\]`

B) Average Savings Per Person

To find the average savings per person, we divide the total savings by the number of people (3 in this case):

`\[\text{Average Savings Per Person} = (90)/(3)\]/[\text{Average Savings Per Person} = 30\]`