Felipe's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A costs Felipe $4.55 per lb. Type B costs $5.70 per lb. This month, Felipe made 147 lbs of the blend for a total of $726.50. How many lbs of type A coffee did he us?
Accepted Solution
A:
Answer:Type A coffee in lbs = 97 lbsStep-by-step explanation:Type a = 4.55/lbs = xtype b = 5.70/lbs = yTotal in lbs = 147lbstotal in sales = 726.50First,x + y = 147 lbs -------------------equ 14.55x + 5.70y = lbs ------------ equ 2Multiply equ 1 by 4.554.55x + 4.55y = 668.85 -------------equ 34.55x + 5.70y = 726.50 ------------equ 4Subtracting equ 3 from equ 41.15y = 57.65y = 50Substituting y = 50 into equ 1x + 50 = 147x = 97