Diophantus wrote:Three sets of beans x, y and z are sold for $5.00, $15.00 and $17.50 respectively per kg. If they are mixed in the ratio 1:3:2, what is the cost per kg of the mixture?
Nevertheless, here's one approach:
Let's combine 1 kg of the X Beans, 3 kg of the Y Beans and 2 kg of the Z Beans
This allows us to have the desired 1:3:2 ratio
COST of 1 kg of the X Beans = $5.00
COST of 3 kg of the Y Beans = (3)($15.00) = $45.00
COST of 2 kg of the Z Beans = (2)($17.50) $35.00
TOTAL cost = $5.00 + $45.00 + $35.00 =
$85
TOTAL weight = 1 kg + 3 kg + 2 kg =
6 kg
Cost per kg =
$85/
6 kg = 14 1/6 dollars per kg
≈ $14.17 per kg
Cheers,
Brent
