Question

Melissa's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Melissa $4.35 per pound, and type B coffee costs $5.70 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $614.25. How many pounds of type A coffee were used?

Answer 1

well let’s break this down

Let’s make type a coffee “a”

And type b coffee “b”

a is 4.35

b is 5.70

We knwo that b is twice as many as a

The total is 614.25

So we can do soemthing like this

4.35a+ (5.70b)2 = 614.25

Now solve

If we simplify its really

4.35a+11.40b =614.25

I like multiply by a 100 to get rid of decimals

435a+1140b=61425

Here we can go 2 ways

We can isoalte a or b

im gonna isloate b

so it would be (61425-435a)/1140 =b

Now we can use that as a subsitube to find a

Now we can just do this

435a +1140(61425-435a)/1140 = 61425

Pop it through an algebra calculator (just search up math pa..Pa and copy paste it, edit if needed) and then you’d get your answer