the coach for a basketball team wants to buy new shoes for her 12 players. super sport is offering a 20%discount on each pair of shoes,wich were originally priced $72.50 a 65% sales tax will be applied to the discount price. the same shoes are also available on double Dribbles web site for $54.75 a 9% processing fee will be applied to the cost of the shoes,plus a shipping fee of $5.99 for each pair. what is the difference in the total costs of the 12 pairs of shoes between the two stores?

Here are the calculations for Super Sport:

[12 ($72.50 x 0.8)] 1.065 = $741.24

Here is the math for Double Dribbles:

[12($54.75 x 1.09)] + (12 x $5.99) = $788.01

$788.01 - $741.24 = $46.77

The difference in price is $46.77.

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facundo3141592 facundo3141592 · Answer 2 · 2022-04-15T13:50:21+02:00

The difference in the total costs for the 12 pairs of shoes between the second and first store is $46.80.

Where we have the best price?

We need to find the price per shoe in the two stores.

On the first store, the price is $72.50, on that we apply a tax of 6.5%, and a discount of 20%, then the cost per shoe will be:

C = $72.50*(1 + 6.5%/100%)*(1 - 20%/100%)

C = $72.50*(1.065)*(0.8) = $61.77

On the second store, the price is $54.75 and we have a tax of 9%, plus a shipping cost of $5.99

So the total cost is:

C' = $54.75*(1 + 9%/100%) + $5.99 = $54.75*(1.09) + $5.99 = $65.67

So, the difference in the costs between the two stores for 12 shoes is:

12*(C' - C) = 12*( $65.67 - $61.77) = $46.80

This means that if the coach buys on the second store, they will spend $46.80 more.

If you want to learn more about percentages, you can read:

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