Math college algerbra

Question

Yolanda's coffee shop makes a blend that is a mixture of two types of coffee Type A coffee costs Yolanda 5.60 per pound, and type B coffee costs 4.25 per pound. This month, Yolanda made 152 pounds of the blend, for a total cost of 776.95. How many pounds of type A coffee did she use

Answer 1

Hello Percell,

Since this is a two-variable equation we need two different equations to solve for how many pounds of type A.

will use A for pounds of coffee A, and B for pounds of Coffee B.

For the 1st equation will do the pounds of coffee.

Pounds of Coffee A + Pound of Coffee B = Total pounds of Coffee

A+B=152 pounds

which can also be rewritten as

B=152-A

Second equation price per pound

(A)*5.60$/lb +(B)*4.25$/lb =776.95$

to solve plug the first equation into the second equation and will look like this

(A)*5.60$/lb+(152-A)*4.25$/lb=776.95$

now solve for the pounds of coffee A like solving for x