Answer:
Lauren used 96 pounds of type B coffee
Explanation:
Lauren's coffee shop makes Blend that has a mixture of two types of coffee.
Let a = number of pounds of type A coffee used.
Let b = number of pounds of type B coffee used.
Type A cost Lauren 5.60 per pound and type B coffee cost 4.05 per pound. Therefore,
Cost of a blend a pounds of type A coffee and b pounds of type B coffee will be
$(5.6a + 4.05b)
This month Lauren made 174 pounds of the blend, for a total cost of 825.60. This means total number of both blends for the month is a+ b.
The equations are
a + b = 174
5.6a + 4.05b = 825.6 - - - - - - - -1
Put a = 174 - b in equation 1
5.6(174-b) + 4.05b= 825.6
974.4 -5.6b + 4.05b = 825.6
-5.6b + 4.05b = 825.6 -974.4
-1.55b= -148.8
b = -148.8/-1.55
= 96 pounds
Put b = 96 in a = 174-b
a = 174 - 96 = 78 pounds
Lauren used 96 pounds of type B coffee