Ann's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ann $ 5.95 per pound, and type B coffee costs $ 4.10 per pound. This month, Ann made 162 pounds of the blend, for a total cost of $ 786.30 How many pounds of type A coffee did she use?

Question

Ann's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ann $ 5.95  per pound, and type B coffee costs $ 4.10  per pound. This month, Ann made 162 pounds of the blend, for a total cost of $ 786.30  How many pounds of type A coffee did she use?

anonymous · Answer

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anonymous · Answer

We need to set up two equations since we have two unknowns (the weight of A and the weight of B). 

The first will relate the weight. $$A + B = 162$$The second will relate cost$$5.95 \cdot A + 4.10 \cdot B = 786.30$$