SOLUTION: L-Ribose costs $88 for 500 mg. L-Gulose costs $213 for 100 mg. A customer orders a total of 3 grams of L-Ribose AND L-Gulose. If the total COST of the order is $1,505, how much

Algebra ->  Conversion and Units of Measurement -> SOLUTION: L-Ribose costs $88 for 500 mg. L-Gulose costs $213 for 100 mg. A customer orders a total of 3 grams of L-Ribose AND L-Gulose. If the total COST of the order is $1,505, how much      Log On


   

Question 1006345: L-Ribose costs $88 for 500 mg.
L-Gulose costs $213 for 100 mg.
A customer orders a total of 3 grams of L-Ribose AND L-Gulose. If the total COST of the order is $1,505, how much L-Ribose in grams did the customer order?
I'm stumped about how to set this up with the unti conversion.
Thaks for your help.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Account for the materials.
x+y=3

Account for the cost of the order purchased.
(88/0.5)x+(213/0.1)y=1505

Slightly simplified, the system to solve, using x for quantity of L-Ribose and y for L-Gulose, is system%28x%2By=3%2C176x%2B2130y=1505%29.
The variables for x and y are in units of GRAMS as arranged here; not milligrams; but you could arrange differently if you preferred.