Question

I need someone’s help please

Answer 1

B = 90 pounds

Explanation:

We know that Han's Coffee shop uses coffee A at $4225 per pound and coffee B at $5.45 per pound and this month it made 153 pounds of blend for a total cost of $758.25.

We are find the number of pounds for coffee B used.

`A+B=153`

`A=153-B` --- (1)

`4.25A+5.45B =758.25` --- (2)

Substituting equation (1) in (2) to get:

`4.25(153-B)+5.45B=758.25`

`650.25-4.25B+5.45B=758.25`

`1.2B=758.25-650.25`

`1.2B=108`

B = 90 pounds

Answer 2

Answer: 90 pounds.

Explanation:

Let's call:

A: pounds of type A coffee.

B: pounds of type B coffee.

Based on the information given in the problem you can set up the following system of equations:

`\left \{ {{A+B=153} \atop {4.25A+5.45B=758.25}} \right.`

You can use the Elimination method:

- Multiply the first equation by -4.25.

- Add both equations.

- Solve for B.

Then, you obtain:

`\left \{ {{-4.25A-4.25B=-650.25} \atop {4.25A+5.45B=758.25}} \right.\\----------\\1.2B=108\\B=90`

He used 90 pounds of type B coffee.