Winona and Takoda are shopping for a present for their mother.

The chart shows several possible presents. There is no sales tax in the state where they live.



Present Cost ($) Discount (%) Total Paid

Power tools d 15% (+2)

Water skis d + 15 25% (+2)

Jewelry d – 5 10% (+2)

c. Use the value d=$50. Calculate the Total Paid (+6pts see above) Column of EACH of the possible presents for the value of $50. Then star or circle the most economical or cheapest.

1 answer

To calculate the Total Paid for each present, we will first determine the discounted price for each item, and then add the additional amount of (+2) as specified.

1. Power Tools:

  • Cost: \( d = 50 \)
  • Discount: 15%
  • Discount Amount: \( 50 \times 0.15 = 7.5 \)
  • Discounted Price: \( 50 - 7.5 = 42.5 \)
  • Total Paid: \( 42.5 + 2 = 44.5 \)

2. Water Skis:

  • Cost: \( d + 15 = 50 + 15 = 65 \)
  • Discount: 25%
  • Discount Amount: \( 65 \times 0.25 = 16.25 \)
  • Discounted Price: \( 65 - 16.25 = 48.75 \)
  • Total Paid: \( 48.75 + 2 = 50.75 \)

3. Jewelry:

  • Cost: \( d - 5 = 50 - 5 = 45 \)
  • Discount: 10%
  • Discount Amount: \( 45 \times 0.10 = 4.5 \)
  • Discounted Price: \( 45 - 4.5 = 40.5 \)
  • Total Paid: \( 40.5 + 2 = 42.5 \)

Now, we can summarize the Total Paid amounts:

  • Power Tools: \( 44.5 \)
  • Water Skis: \( 50.75 \)
  • Jewelry: \( 42.5 \)

The most economical or cheapest option is Jewelry with a Total Paid of 42.5.