SOLUTION: Debra's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Debra $4.15 per pound, and type B coffee costs $5.70 per pound. This month,

Algebra.Com
Question 1103656: Debra's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Debra
$4.15
per pound, and type B coffee costs
$5.70
per pound. This month, Debra made
144
pounds of the blend, for a total cost of
$734.00
. How many pounds of type B coffee did she use?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = pounds of type A needed
Let = pounds of type B needed
---------------------------------------
(1)
(2)
--------------------------------
(2)
Multiply both sides of (1) by and
and subtract (1) from (2)
--------------------------------
(2)
(1)
--------------------------------


and
(1)
(1)
(1)
-----------------------
she needs 88 pounds of type B coffee
-----------------------------------
check:
(2)
(2)
(2)
(2)
OK


RELATED QUESTIONS

Debra's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A... (answered by Edwin McCravy)
David's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee (answered by ikleyn)
Kira’s coffee shop makes a blend that is a mixture of two types of coffee. Type A... (answered by josgarithmetic)
Justin's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A... (answered by josgarithmetic)
Ravi’s Coffee Shop makes a blend that is a mixture of two types of coffee. Type A... (answered by ikleyn)
Aldo's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee... (answered by josgarithmetic,ikleyn,greenestamps)
Lisa's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee... (answered by josgarithmetic)
Ashley's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A... (answered by josgarithmetic)
Kira's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee... (answered by josgarithmetic)