Mr.MojoRisin said:
A yogurt company blends regular yogurt that is 4% fat with its no-fat yogurt to obtain low-fat yogurt that is 2% fat. How many pounds of non-fat yogurt must be mixed to obtain 50 pounds of low-fat yogurt?
Since you are being asked to find the number of pounds of non-fat yogurt, it makes sense to me to choose your variable to represent that amount:
let n = # of pounds of non-fat yogurt
Now, since we will end up with a total of 50 pounds, there will be 50 - n pounds of regular yogurt.
n pounds of non-fat yogurt contains 0(n) pounds of fat....since the non-fat yogurt doesn't have ANY fat.
50 - n pounds of regular yogurt, which is 4% fat, contains 0.04(50 - n) pounds of fat.
At the end, we will have 50 pounds of low-fat yogurt, which is 2% fat. The amount of fat we'll have at the end is 0.02(50) pounds.
Ok...
fat in regular yogurt + fat in non-fat yogurt = fat in the mixture
0.04(50 - n) + 0(n) = 0.02(50)
Now....can you solve that for n?
I hope this helps you.
