Traci wants to buy rings that cost 50$ each. A jewler is offering a deal in which you buy 1 ring and get the 2nd for 25% off and the 3rd fo 50% off. The sales tax is 8%. Traci will buy 3 rings. How much money will Traci save using the deal instead of paying full price for all rings?

Respuesta :

bcalle
The first ring is $50, the second ring is 37.50 and the third ring is 25.00
The total of the rings before tax is 112.50 and $121.50 after tax

Answer:

$40.50¢

Step-by-step explanation:

First Deal

Step 1: Multiply 3 rings to 50

[tex]50 \times 3 = 150[/tex]

Step 2: Find the sales tax of the total cost (result)

  • Let "y" be the variable

[tex]\frac{8}{100} \times \frac{150}{y} = 12[/tex]

  • Add the result to the total price

[tex]150 + 12 = 162[/tex]

Second Deal

1 Ring = $50

2 rings = $37.5

Step 1: Find 25% off the original price

  • Let "y" be the variable

[tex]\frac{25}{100} \times \frac{50}{y} = 12.5[/tex]

  • Subtract the result from the original price

[tex]50 - 12.5 = 37.5[/tex]

3 Rings = $25

Step 1: Find 50% off the original price

  • Let "y" be the variable

[tex]\frac{50}{100} \times \frac{50}{y} = 25[/tex]

  • Subtract the result from the original price

[tex]50 - 35 = 25[/tex]

Total calculation

Step 1: Add all the results together

[tex]50 + 37.5 + 25 = 112.5[/tex]

Sales Tax

Find the sale tax of the total amount of the second deal

Step 1: Let "y" be the variable

[tex]\frac{8}{100} \times \frac{112.5}{y} = 9[/tex]

Step 2: Add the result to the total price

[tex]113.5 + 9 = 121.5[/tex]

How much was saved

Step 1: Subtract the Second deal from the First Deal

[tex]162.0 - 121.5 = 40.5[/tex]

Taci will save $40.50 if she used the second deal instead of the first deal.