A friend of mine owns several 10ounce sliver pieces each wor

A friend of mine owns several 10-ounce sliver pieces, each worth $160. I own several 1-ounce gold pieces each worth $1168.

(a) If I owed her money, what is the smallest amount I could pay off with coin swapping? Describe how I would pay this amount, assuming we each had the number of coins required.

(b) If she owed me money, what is the smallest amount she could pay off? Describe how she would do it

please show your work.

Solution

a) LCM of 160 and 1168 is $ 11680 is the smallest amount I could pay off with coin swapping. I can pay ten 1-ounce gold pieces.

b) If she owd me money, the smallest amount she can pay is also $ 11680.she can pay by giving seventy three 10-ounce sliver pieces.