Answer:
We know blend A costs 5.50 and blend B costs 4.30. We know that Pablo made 153 pounds of coffee this month. Let's let A=amount of blend A used and B=amount of blend B used. Since he made 153lbs coffee, we know that
A+B=153.
But he spent 756.30. The total amount he spent on a blend of coffee is the price * amount used. So he spent 5.50*A on blend A and 4.30*B on B, so in total, he spent 5.50*A+4.30*B in coffee. But this must add to 756.30! So
5.5A+4.3B = 756.30
Now we have two equations:
A+B = 153
5.5A + 4.3B = 756.30
We need to solve for B. I hate decimals so let's get rid of them in the second equation by multiplying both sides of the equation by 100 (which simply moves the decimals on everything two to the right). So now we have
A+B = 153
550A + 430 B = 75630
Now let's multiply the first equation by 550 (so we can eventually get rid of pesky A). So multiply the left and right side of the first equation by 550, so we have
550A + 550B = 84150
550A + 430B = 75630
Now subtract the second equation from the first, notice that since both have 550A, they cancel, so we obtain
120B = 8520
Now divide by 120 into both sides to solve for B, we get
B= 8520/120 = 71
So Pablo used 71lbs of blend B.
Step-by-step explanation:
Hope this helps you!!!!! :D
