A truck is carrying 100 pounds of grapes, which are 99% water (and 1% skin, fiber, etc ...). When the truck breaks down and the grapes sit in the back of the truck for 4 hours, they become 98% water. At that moment, how many pounds do the grapes weigh?

Question

Mathematics

Trystan Mcguire

26 November, 11:37

A truck is carrying 100 pounds of grapes, which are 99% water (and 1% skin, fiber, etc ...). When the truck breaks down and the grapes sit in the back of the truck for 4 hours, they become 98% water. At that moment, how many pounds do the grapes weigh?

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Answers (1)

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Evangeline Chandler · Answer 1

The grapes have a weight of 50 pounds

Step-by-step explanation:

To calculate the weight of the grapes, we proceed as follows;

Let's categorize the skin, fiber as solids

At first, we had 1% solids and 99% water.

This means 99 pounds of water and 1 pound of solid

It must be known that the 1% solid remains the same after drying and what we have lost simply is the water,

This means that 2% of the total weight is now same 1 pound of solid after drying

Mathematically, this means

2/100 * new total weight = 1 pound

New total weight = 1 pound * 100/2 = 50 pounds