Answer :
A winemaker can make approximately 98 bottles of wine from 540 pounds of grapes, using a ratio and proportion based on the fact that 12 bottles are made from 66 pounds of grapes.
The question asks us to determine how many bottles of wine can be made from 540 pounds of grapes given that 12 bottles can be made with 66 pounds of grapes. To solve this, we use a ratio and proportion method.
First, we set up a proportion where the number of bottles is directly proportional to the amount of grapes:
12 bottles / 66 pounds = x bottles / 540 pounds.
Multiply both sides by 540 to solve for x:
(12 bottles * 540 pounds) / 66 pounds = x bottles.
Calculate: (12 * 540) / 66 = x.
After doing the math, we find x, which is the number of bottles that can be made from 540 pounds of grapes.
Perform the division and round to the nearest whole number as instructed.
The calculation yields x = 12 * (540/66), which equals 98.1818. Rounded to the nearest whole bottle, the winemaker can make 98 bottles of wine from 540 pounds of grapes.
