Answer:
He use 97 pound of type A coffee
Step-by-step explanation:
Let's call A the pounds of type A coffee that Austin used this month and B the pounds of type B coffee that Austin used this month.
From the sentence: Type A coffee costs bill $5.70 per pound and type B coffee costs $4.65 per pound and the total cost is $943.50, we can formulated the equation 1 as:
5.70*A + 4.65*B=943.50
Because the total cost is the sum of the cost of every type of coffee.
Additionally, from the sentence: This month bill made 181 pounds of the blend, we can formulate the equation 2 as:
A + B = 181
Solving for B, we get:
B = 181 - A
Now, for find the value of A we need to replacing this last equation on equation 1, and solving for A as:
5.70*A + 4.65*B=943.50
5.70*A + 4.65*(181-A)=943.50
5.70*A + 841.65 - 4.65*A = 943.50
5.70*A - 4.65*A = 943.50 - 841.65
1.05*A = 101.85
A = 101.85/1.05
A = 97
So, this month, he use 97 pound of type A coffee.
