Rita's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs rita $5.70 per pound, and type b coffee costs $4.10 per pound. this month, rita made 177 pounds of the blend, for a total cost of $850.50. how many pounds of type b coffee did she use?

she used 99 pounds of type B coffee.

Step-by-step explanation:

Let x represent the number of pounds of type A coffee that she used.

Let y represent the number of pounds of type B coffee that she used.

Rita made 177 pounds of the blend. This means that

x + y = 177

Type A coffee costs Rita $5.70 per pound, and type B coffee costs $4.10 per pound. This month, the total cost of coffee that she made was $850.50. It means that

5.7x + 4.1y = 850.50 - - - - - - - - - - -1

Substituting x = 177 - y into equation 1, it becomes

5.7(177 - y) + 4.1y = 850.50

1008.9 - 5.7y + 4.1y = 850.5

- 5.7y + 4.1y = 850.5 - 1008.9

- 1.6y = - 158.4

y = - 158.4/ - 1.6

y = 99

Substituting y = 99 into x = 177 - y, it becomes

x = 177 - 99 = 78

step-by-step explanation: