You normally buy a crate of wine for $75. One crate has 6 bottles of wine. After a month, the store clerk informs you that the same crate of wine now costs $82. However, there are 7 bottles in a crate. To the nearest cent, determine the average cost of the crate from last month to now
It would help if you proofread your questions before you posted them.
Do you really want "the average cost of the crate"?
($75+$82)/2 = ?
To find the average cost of the crate from last month to now, we need to calculate the cost per bottle in both instances and then calculate the average of the two costs.
First, let's calculate the cost per bottle last month. We know that one crate of wine had 6 bottles and cost $75. So, to find the cost per bottle, we divide the total cost by the number of bottles:
Cost per bottle = Total cost / Number of bottles
Cost per bottle = $75 / 6
Cost per bottle ≈ $12.50
Now, let's calculate the cost per bottle now. We are given that one crate of wine has 7 bottles and costs $82. So, we divide the total cost by the number of bottles:
Cost per bottle = Total cost / Number of bottles
Cost per bottle = $82 / 7
Cost per bottle ≈ $11.71
Finally, let's find the average cost per bottle from last month to now. We add the cost per bottle from last month to the cost per bottle now, and then divide the sum by 2 (since there are two instances):
Average cost per bottle = (Cost per bottle last month + Cost per bottle now) / 2
Average cost per bottle = ($12.50 + $11.71) / 2
Average cost per bottle ≈ $12.10
Therefore, to the nearest cent, the average cost of the crate from last month to now is approximately $12.10.