Question

He is offered a discount for the first five months. after this period, his rate increases by $8.50 per month. his total cost at the end of the year is $245.50. paul wrote the following equation represent his plan. 5x + 7(x + 8.50) = 245.50 part a: how much, in total, will paul pay during the five discounted months of his plan? (1 point

Answer 1

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:

$5 x+7(x+8.50)=245.50$

Where x  is an amount for the first $5$ months that is paid by Paul after the discount and $(x+8.50)$  is an amount for the next $7$ month after discount.

$&\Rightarrow \quad 5 x+7 x+59.50=245.50 \\&\Rightarrow \quad 12 x=186 \\&\Rightarrow \quad x=\frac{186}{12} \\&\Rightarrow \quad x=15.50\end{aligned}$

For the next 7 month:

$(x+8.50)=(15.50+8.50)=\ 24$

Therefore, The first $5$ months Paul paid $ 15.50, and in the next $7$ months he paid $ 24.

To learn more about discount here:

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