Answer:
You can prove this statement as follows:
Step-by-step explanation:
An odd integer is a number of the form where
. Consider the following cases.
Case 1. If is even we have:
.
If we denote by we have that
.
Case 2. if is odd we have:
.
If we denote by we have that
This result says that the remainder when we divide the square of any odd integer by 8 is 1.
Answer:
a) If both gyms sold 80 total memberships, Gym A sold 12 more gold membership.
Step-by-step explanation:
Here is the complete question: 40% of the memberships sold by Gym A were gold memberships. 25% of the memberships sold by Gym B were gold memberships.
Which statement must be true?
a) If both gyms sold 80 total memberships, Gym A sold 12 more gold membership.
b) If both gyms sold the same number of memberships, Gym A sold 15 more gold membership.
c) Gym A sold more gold membership than Gym A did.
d) If Gym B sold 50 membership, 25 would be gold memberships.
Given: Gym A have sold 40% gold membership of total membership.
Gym B have sold 25% gold membership of total membership.
Lets take option A first to find if it is true statement.
As per option A, There are total number of membership is 80.
∵ Gym A has sold 40% gold membership.
∴ Gym A gold membership=
⇒ Gym A gold membership=
∴ Gym A gold membership= 32.
Now, Gym B
∵ Gym B has sold 25% gold membership.
∴ Gym B gold membership=
⇒ Gym B gold membership=
∴ Gym B gold membership= 20.
Next finding difference gold membership for Gym A and Gym B
Hence, we can say option A is correct as Gym A have sold 12 more gold membership, if total number of membership sold by both Gym is 80.
