Leila's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Leila $5.85 per pound, and type B coffee costs $4.40 per pound. This month, Leila made 147 pounds of the blend, for a total cost of $786.00. How many pounds of type B coffee did she use?

Question

Mathematics

Halle Dillon

18 December, 20:09

Leila's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Leila $5.85 per pound, and type B coffee costs $4.40 per pound. This month, Leila made 147 pounds of the blend, for a total cost of $786.00. How many pounds of type B coffee did she use?

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Aarav Franklin · Answer 1

A + b = 147 ... a = 147 - b

5.85a + 4.40b = 786

5.85 (147 - b) + 4.40b = 786

859.95 - 5.85b + 4.40b = 786

-5.85b + 4.40b = 786 - 859.95

- 1.45b = - 73.95

b = - 73.95 / - 1.45

b = 51 < = = she used 51 lbs of type B coffee