A coffee blend contains Sumatra beans that cost $5/lb and Kona beans that cost $13/lb. If the blend costs $10/lb, how much of each type of coffee is in 50 lb of the blend

Question

anonymous · Answer

@TheSmartOne

thesmartone · Answer

So lets define the variables:

s = pounds of Sumatra beans 
k = pounds of Kona beans

thesmartone · Answer

We know that s+k = 50 lbs

And it says the blend costs $10/lb so then 50 x 10 = $500.

anonymous · Answer

ok

thesmartone · Answer

And we also know that s costs $5 per pounds, and k costs $13 per pound. 

So we have one equation:

$\sf 5s + 13k = 500$

thesmartone · Answer

And the other equation we got is

$\sf s+k=50$

thesmartone · Answer

So @Amberpatterson just solve these two equations:

$\sf 5s + 13k = 500$
$\sf s+k=50$

anonymous · Answer

ok and then would it be 18.75 ibs of s and 31.25ibs of k

thesmartone · Answer

Correct :)

anonymous · Answer

thank you