# Happy New Year!! - The Solutions

December 29, 2008

Each new year begins at midnight (12am) on January 1st.

Knowing this, when 2008 begins in Tokyo, it will be 3pm in London. (12am – 9hrs = 3pm)

When it is 3pm in London, it will be 8am in Denver. (3pm – 7hrs = 8am)

Finally, when it is 8am in Denver, it will be 10 am in WashingtonDC. (8am + 2hrs = 10am)

First we must calculate the volume, in mL, of the candle.

V = πr2h                       **2r = d**

V = π(42)(15)

V = π(16)(15)

V = 753.98…cm3 = 753.98 mL

We know that 5 mL of wax burn/melt per 15 minutes, so 20 mL of wax burn/melt per hour. To calculate the number of hours that it would take for the candle to burn down completely, we need to divide the total volume of the candle by 20.

753.98 mL ÷ 20 = 38 hours, to the nearest whole number

Let “c” represent the original cost of the dress.

Barbara saved 20% of the original price, which means she paid 80% of the original price. We can express this sale price as 0.8c.

Additionally, she had to pay 5% of the sale price as sales tax. This can be expressed as 0.05(0.8c).

The sale price plus the tax equals the total amount she paid, \$117.60.

0.8c + 0.05(0.8c) = 117.60

0.8c + 0.04c = 117.60

0.84c = 117.60

c = \$140.00

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