Davina S.

asked • 10/07/18# She should blend ___lbs of high quality beans.

## 1 Expert Answer

Amy I. answered • 06/11/19

Dedicated math tutor with 30+ years experience.

She wants to end with a mixture of 170 pounds of beans worth $4.71 per pound

the cheaper bean is worth $3.25 per pound TOTAL weight is 170 pounds, so we can let this one = x

the pricier bean is worth $6 per pound Its weight will be whatever # pounds remain from 170 so 170-x

basic concept is:

price * weight + price * weight + .... = price * total weight (* represents multiplication)

$6 (170 -x ) + $3.25 (x) = $4.71 (170) distribute and simplify

x = 79.745 rounded to 80 pounds cheaper coffee

170 - x = 170-80 = 90 pounds pricier coffee

CHECK : $6 (90) + $3.25 ( 80) = $800 due to rounding

## Still looking for help? Get the right answer, fast.

Get a free answer to a quick problem.

Most questions answered within 4 hours.

#### OR

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.

Brandon C.

If she is trying to break even, she should blend ~90lbs of high-quality beans and ~80lbs of low-quality beans.10/12/18