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Which coupon will save Cassie more money on a television originally priced at $88?

1.25%off any purchase
2.$25 off one purchase of 75$ or more


Sagot :

Answer:

2.$25 off one purchase of 75$ or more

Step-by-step explanation:

Percentages

When a percentage, say n%, is deducted from a value, it means that the original value is being subtracted by the product of the decimal form of the percent and the value itself or,

                                           [tex]V-(\dfrac{n}{100} )V[/tex].

To find the percentage of any value, the value must be multiplied by the percent's decimal equivalent.

Another way that the new value can be calculated is by taking the product of the original value and the decimal form of (100-n)% or " decimal form of the remaining percent".

Simplifying the expression made earlier proves this,

[tex]V-(\dfrac{n}{100} )V=(\dfrac{100}{100} )V-(\dfrac{n}{100} )V\\\\\Longrightarrow (\dfrac{100-n}{100} )V[/tex].

Apply Percentages to the Problem

If 25% is taken off of a price of $88, then the new value is,

              [tex](\dfrac{100-25}{100} )(88)=(\dfrac{75}{100} )(88)=0.75(88)=66[/tex].

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Let's compare the new value to the other scenario where $25 dollars is deducted from any price over $75.

Since $88 > $ 75, $25 can be deducted, so the new value is 88 - 25 or, $63.

Since the second coupon gave Cassie a cheaper price of $63 compared to the $66 from earlier, it deducted more money, thus answer choice 2 is the correct answer.