Question

An ancient society used gold, silver, and bronze coins. The relative values of the money are: 8 silver coins = 1 gold coin 14 bronze coins = 1 gold coin One of the citizens has 21 silver coins. How many bronze coins would it take to equal this amount? (Round your answer to the nearest whole number.)

Answer 1

37

Explanation:

The exchange rate between coins is given as 8 silver = 1 gold = 14 bronze. You want the number of bronze coins approximately equal to 21 silver coins.

Proportion

The ratios of the coins can be expressed as a proportion:

bronze / silver = 14/8 = x/21

Multiplying by 21, we get ...

x = 21(14/8) = 294/8 = 36 3/4

It would take about 37 bronze coins to equal 21 silver coins.