Five-eights of Jesse Black's inventory was destroyed by fire. He sold the remaining part, which was slightly damaged, for one-third of its value and received $1300.
a)What was the value of the destroyed part of the inventory?
b)What was the value of the inventory before the fire?
Oh okay, I get it now! Thank you!
1/3 (1 - 5/8) v = 1300
v = 10400
5/8 v = 6500
Is the last line part b?
a) Well, I guess Jesse Black's inventory was pretty fired up, huh? Anyway, let's find out the value of the destroyed part. If the remaining slightly damaged part was sold for one-third of its value and fetched $1300, then we can multiply $1300 by 3 to get the value of the entire inventory.
$1300 x 3 = $3900
So, the value of the destroyed part of the inventory was $3900.
b) Now, to figure out the value of the inventory before the fire, we need to find out what the total value was before the fire. Since five-eighths of the inventory was destroyed, we can calculate the remaining part using the value of the destroyed part we just found.
Total value = Value of destroyed part + Value of remaining part
Total value = $3900 + Value of remaining part
Now, we know that the value of the remaining part is one-third of the total value, so we can set up an equation:
Value of remaining part = (1/3) x Total value
Substituting the known values:
Value of remaining part = (1/3) x $3900
Value of remaining part = $1300
So, the value of the inventory before the fire was $1300 + $3900 = $5200.
Hope that answers your question with a little bit of fire safety humor!
To solve this problem, we can break it down into two parts:
Part 1: Finding the value of the destroyed part
Step 1: Let's assume the initial value of the inventory before the fire was "x" dollars.
Step 2: Given that five-eights (5/8) of the inventory was destroyed, we can calculate the value of the destroyed part by finding five-eighths of "x."
Value of the destroyed part = (5/8) * x
Part 2: Finding the value of the inventory before the fire
Step 3: To calculate the value of the inventory before the fire, we need to add the value of the destroyed part to the value of the part Jesse sold.
Given that Jesse sold the remaining part for one-third (1/3) of its value and received $1300, we can set up the equation.
Value of the remaining part = (1/3) * (Value of the inventory before the fire - Value of the destroyed part)
Since Jesse received $1300 for the remaining part, we have:
(1/3) * (Value of the inventory before the fire - Value of the destroyed part) = $1300
Now, we can solve the equations to find the answers.
a) What was the value of the destroyed part of the inventory?
To find the value of the destroyed part, substitute the given information into the equation:
Value of the destroyed part = (5/8) * x
b) What was the value of the inventory before the fire?
To find the value of the inventory before the fire, substitute the given information into the equation:
(1/3) * (Value of the inventory before the fire - Value of the destroyed part) = $1300
v is the original value
5/8 v is the value of the destroyed part.
a little comparison of the words and equations should have made that clear.