MATH SOLVE

4 months ago

Q:
# Lauren's coffee shop makes Blend that has a mixture of two types of coffee. Type A cost Lauren 5.60 per pound and type B coffee cost 4.05 per pound. This month Lauren made 174 pounds of the blend, for a total cost of 825.60. How many pounds of type b coffee did she use?

Accepted Solution

A:

Answer:Lauren used 96 pounds of type B coffeeStep-by-step 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 = 1745.6a + 4.05b = 825.6 - - - - - - - -1Put a = 174 - b in equation 15.6(174-b) + 4.05b= 825.6974.4 -5.6b + 4.05b = 825.6 -5.6b + 4.05b = 825.6 -974.4-1.55b= -148.8b = -148.8/-1.55= 96 poundsPut b = 96 in a = 174-ba = 174 - 96 = 78 poundsLauren used 96 pounds of type B coffee