A percentage is a number expressed fraction of hundred
The correct options for the expression that represent how much Jack pays in total are;
B: P + 0.25·P
D: (5/4)·P
Reason:
The given parameters are;
Material from which the pony is made = Diamond
Price of the pony = P dollars
Amount Jack has to pay as diamond pony tax = 25%
Required:
The expression that represents how much Jack pays per pony
Solution:
The amount Jack pays, A = The price of the pony + Tax
The amount paid as tax = 25% of P = 0.25·P
∴ A = P + 0.25·P
- The total amount Jack pays in total for the pony, A = P + 0.25·P
[tex]\therefore A = P + 0.25 \cdot P = P + \dfrac{1}{4} \cdot P = \dfrac{5}{4} \cdot P[/tex]
- Therefore; The total amount paid = P + 0.25·P = (5/4)·P
The correct options are; B: P + 0.25·P, and D: (5/4)·P
Learn more about proper fractions here:
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