Find solutions to your questions with the help of IDNLearn.com's expert community. Ask your questions and receive reliable and comprehensive answers from our dedicated community of professionals.

Hans's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Hans
$5.80
per pound, and type B coffee costs
$4.10
per pound. This month, Hans made
117
pounds of the blend, for a total cost of
$569.80
. How many pounds of type A coffee did he use?


Sagot :

He used 53 pounds. I got this by using two equations.
a+b=117
and
5.8a+4.1b= 569.8

I took the first equation and subtracted 'b' so the equation looked like a=117-b.
I then plugged in 117-b into the second equation, so it ended up looking like this:
5.8 (117-b)=569.8
5.8 times 117 is 678.6. And 5.8 times negative b is negative 5.8b.
The equation now looks like this:
678.6-5.8b+4.1b=569.8
Add like terms
678.6-1.7b=569.8
Then subtract 678.6 from both sides
-1.7b= -108.8
divide each side by -1.7
you get b= 64.
But because you are looking for how many pounds for a, subtract 64 from 117. You get 53. 53 is the answer.