A Michigan orchard made 22,331 lb of taffy apples with approximately 1 lb of taffy mixture for each 69.6 pounds of apples. To the nearest tenth of a pound, how many pounds of apples and how many pounds of taffy were used?

A fraction 68.6/69.6 = 0.98563 of the taffy apples are the apples, and 1/69.6 = 0.014368 is the taffy mixture.

Multiply those fractions by 22,231 total lb made. Then round off to the nearest 0.1 lb.

Those fractions should be 69.6/70.6 = 0.98584 apples and 1.0/70.6 = 0.014164 taffy. That makes 1 lb of taffy per 69.6 of apples

220 lbs of apples and 319 lbs of mixture?

315 lbs of mixture?

No way. How did you arrive at those numbers? Your total is a lot less than 22,231 lb.

If you had followed my instructions, you would have got 21,916.1 lb of apples. Now can you get the amount of taffy? You could subtract the apples from the total, or use the ratio I derived earlier.

732-328=

To find the number of pounds of apples and taffy used, we will use the given information about the ratio between taffy mixture and apples.

1 lb of taffy mixture is used for every 69.6 pounds of apples.

Let's find the pounds of apples first:

The total weight of taffy apples produced is 22,331 lb.

Using the given ratio, we can calculate the pounds of apples by dividing the total weight of taffy apples by the ratio of apples to taffy mixture.

Pounds of apples = Total weight of taffy apples / Ratio

Pounds of apples = 22,331 lb / (1 lb / 69.6 lb)

Pounds of apples ≈ 1,551,456 lb

Next, let's find the pounds of taffy:

We already have the pounds of apples (1,551,456 lb).

Using the given ratio, we can calculate the pounds of taffy mixture by multiplying the pounds of apples by the ratio.

Pounds of taffy = Pounds of apples × Ratio

Pounds of taffy = 1,551,456 lb × (1 lb / 69.6 lb)

Pounds of taffy ≈ 22,304.3 lb (rounded to the nearest tenth)

Therefore, approximately 1,551,456 pounds of apples and 22,304.3 pounds of taffy were used.