Answered

Lashonda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lashonda $5.95 per pound, and type B coffee costs $4.35 per pound. This month, Lashonda made 147 pounds of the blend, for a total cost of $730.65. How many pounds of type A coffee did she use



Answer :

Answer: 57 pounds of Coffee A

Step-by-step explanation:

Write two equations for the costs and number of pounds.

[tex]5.95a + 4.35b = 730.65\\a + b = 147[/tex]

Use elimination method to solve for a:

[tex]1(5.95a + 4.35b = 730.65) = 5.95a + 4.35b = 730.65\\-4.35(a + b = 147) = -4.35a -4.35b = -639.45\\1.6a = 91.2\\/1.6 = /1.6\\a=57[/tex]