Coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs $5.80 per pound, and type b coffee costs $4.75 per pound. this month, made 153 pounds of the blend, for a total cost of $796.05 . how many pounds of type b coffee did she use

Create a table (multiply across and add down (middle column cannot be added),  The bottom row (total) will create the equation you need to solve for.

                        Quantity                  Cost                  Quantity x Cost

Type A             153 - x                   $5.80                    5.80(153 - x)

Type B                 x                        $4.75                    4.75 (x)          

Total                  153                                                   5.80(153 - x) + 4.75x

                                                                   796.05 = 5.80(153) - 5.80x + 4.75x

                                                                   796.05  = 887.4 - 1.05x

                                                                     - 91.35 = - 1.05x

                                                                            87 = x

87 lbs

Let's create a system of equations to solve for this problem. We'll make two equations where b = type B coffee and a = type A coffee.

Solve the first equation for a. Subtract b from both sides.

Substitute a into the second equation.

Distribute 5.80 inside the parentheses.

Combine like terms.

Subtract 887.4 from both sides.

Divide both sides by -1.05.

Substitute 87 for b into the first equation.

Subtract 87 from both sides.

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(I just now realized we are only supposed to be solving for type B coffee, but anyways,)

87 pounds of type B coffee was used.

uhhh idk u yolo?