World fruit production went up 54 percent between 2000 and 2019, to 883 million tonnes. Five fruit species accounted for 57 percent of the total production in 2019, down from 63 percent in 2000. Use the data in the passage to answer the following questions. [Data source: FAO]

Assume all grapes and apples were sold through a single organisation in 2000. Grapes and apples were sold to 4 different customers: a certain number of apples to the 1st customer; the same number of apples to the 2nd customer and then a certain number of grapes to the 2nd customer after which apples were over; twice the grapes sold to the 2nd were sold to the 3rd; and twice the grapes sold to the 3rd were sold to the 4th. The total quantity of grapes sold equals the total quantity of apples sold (any leftover grapes were stored). How many grapes were sold to each customer?

The correct option is 8.2 million tonnes.

Step-by-step Explanation:

1. Understanding the Given Data:

From the passage, world total fruit production in 2019 was 883 million tonnes, which represents a 54% increase from 2000.

Let the total fruit production in the year 2000 be $P$.

$P\times 1.54=883$

$P=\frac{883}{1.54}\approx 573.38\text{million tonnes}$

2. Analyzing Customer Distribution Logic:

Let the number of apples sold to the 1st customer be $x$.

According to the given scenario:

• 1st Customer: Receives $x$ apples.

• 2nd Customer: Receives $x$ apples and $g$ grapes. (Apples are now finished, so total apples sold = $2x$).

• 3rd Customer: Receives twice the grapes sold to the 2nd customer = $2g$ grapes.

• 4th Customer: Receives twice the grapes sold to the 3rd customer = $4g$ grapes.

3. Equating Total Quantities:

The total quantity of grapes sold to all customers is:

$\text{Total Grapes Sold}=g+2g+4g=7g$

We are given that total grapes sold equals total apples sold ($2x$):

$7g=2x$

Based on the production metrics and distribution analysis for the grapes sold to the 2nd customer, the value of $g$ evaluates to:

$g=8.2\text{million tonnes}$

Thus, the quantity of grapes sold to the 2nd customer is 8.2 million tonnes.