Question

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

Answer 1

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

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.