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The first five months Paul paid and in the next seven months he paid 24.
What is a Discount ?
Discounts are defined as lowered prices or the sale of an item for less than it would typically cost. The fundamental formula for calculating a discount is to multiply the original price by the given percentage rate in decimal form. We must deduct the discount from the original price to determine the item's sale price. A discount is an amount that is subtracted from the regular price of an item.
Paul represent his plan in the form of equation:
[tex]5 x+7(x+8.50)=245.50[/tex]
Where x is an amount for the first [tex]5[/tex] months that is paid by Paul after the discount and [tex](x+8.50)[/tex] is an amount for the next [tex]7[/tex] month after discount.
[tex]&\Rightarrow \quad 5 x+7 x+59.50=245.50 \\&\Rightarrow \quad 12 x=186 \\&\Rightarrow \quad x=\frac{186}{12} \\&\Rightarrow \quad x=15.50\end{aligned}[/tex]
For the next 7 month:
[tex](x+8.50)=(15.50+8.50)=\$ 24[/tex]
Therefore, The first [tex]5[/tex] months Paul paid $ 15.50, and in the next [tex]7[/tex] months he paid $ 24.
To learn more about discount here:
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