# Math homework help! I am extremely lost…?

I have two problems that I CANNOT figure out. Here they are…

1. On Monday, January 4, 2010, one Euro was worth .4408 and one Yuan (China) was worth {content}.1465. What was the value of one Yuan in Euros on Monday, January 4, 2010?

2. You are considering buying 15 silver coins that look alike, but you have been told that one of the coins is a lightweight counterfeit. How can you determine the lightweight coin in a maximum of three weighings on a balance scale?

I keep trying different conversions, but I can’t even get past the second step. The second question has my completely baffled because at first I wanted to separate them into 3 piles then weight them, but then I’d be out of weighings…

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1. (1 yuan / 1) * (0.1465 dollars / 1 yuan) * (1 euro / 1.4408 dollars) = 0.1017

Therefore, 1 Yuan = 0.1017 Euros.

2. First, weigh 7 coins on each side. If they are equal, the one coin not on the scale is the lightweight coin. If they aren’t equal, keep the lighter pile.

Next, separate those 7 coins into two piles of 3 and an extra. Weigh the two piles of 3 coins on each side. Once again, if they are equal, the one coin not on the scale is the lightweight coin. If they aren’t equal, keep the lighter pile.

Finally, weigh one coin on each side. And once again, ff they are equal, the one coin not on the scale is the lightweight coin. If they aren’t equal, keep the lighter coin. Then you will know which one is the counterfeit.

Hope this helps!

1=1.4408

x=0.1465

Yuan in Euros =.10168 euro