Question

At The Old Home Fill'er Up and Keep on a-Truckin' Cafe, Mavis mixes two different types of coffee beans to produce a house blend. The first type costs $2 per pound and the second costs $7 per pound.

How much of each type does mavis use to make 75 pounds of a blend which costs $4 per pound?

Answer 1

There are 45 pounds and 30 pounds of each type respectively.

Explanation:

Since we have given that

Cost of first type = $2 per pound

Cost of second type = $7 per pound

Cost of mixture = $4 per pound

So, we need to find the quantity of each type to make 75 pounds of a blend.

We will use "Mixture and Allegations":

First type Second type

2 7

4

---------------------------------------------------

7 - 4 : 4 - 2

3 : 2

So, Quantity of first type would be

`(3)/(5)* 75=3* 15=45\ pounds`

Quantity of second type would be

`(2)/(5)* 75=2* 15=30\ pounds`

Hence, there are 45 pounds and 30 pounds of each type respectively.