Leila's coffee shop makes a blend that is a mixture of two types of coffee type a coffee cost Layla $4.85 per pound and type B coffee cost $5.90 per pound this month leather made it 142 pounds of the blend for the total cost of $781.10 how many pounds of type B coffee did she use

Therefore she used (142-54) = 88 pounds of type B coffee.

Step-by-step explanation:

Given, Leila's coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee $4.85 per pound and type B coffee cost $5.90 per pound. She made 142 pounds of the blend for the total cost of $781.10.

The cost price of the blend per pound is = $ (781.10:142)

=$5.5

Let, the amount type A in the blend be x

Then the amount of type B in the blend is (142-x)

The cost price of x pound of type A coffee is = $ (4.85*x) = $4.85x

The cost price of (142 - x) pound of type B coffee is = $ (142-x) * 5.90

According to the problem,

4.85x + (142-x) * 5.90 = 781.10

⇔4.85x + 837.8-5.90x=781.10

⇔1.05x=56.7

⇔x = (56.7:1.05)

⇔x=54

Therefore she used (142-54) = 88 pounds of type B coffee.