The solution is
a) The amount Sung pays per month is $ 65
b) The total amount for the 12-month memberships is $ 780
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount of the 12-month membership fee be represented as A
Now , the value of A is
The amount balance after 3 months = $ 585
The amount balance after 5 months = $ 455
So ,
The difference between the months = 5 months - 3 months
The difference between the months = 2 months
The difference between the amounts = $ 585 - $ 455
The difference between the amounts = $ 130
So , for the period of 2 months , the amount = $ 130
The amount for 1 month of the membership = $ 130 / 2
The amount for 1 month of the membership = $ 65
Now , the equation will be
Total amount of the 12-month membership fee A = 12 x amount for 1 month of the membership
Substituting the values in the equation , we get
Total amount of the 12-month membership fee A = 12 x $ 65
Total amount of the 12-month membership fee A = $ 780
Therefore , the value of A is $ 780
Hence ,
The total membership amount is $ 780 and amount per month is $ 65
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