Do I have the right answer?
A store owner bought a machine that laminates cards. the machine cost $1000. Each laminated item costs the owner $.50, but he charges the customers $4.00 per item. how many cards must be laminated and sold before the owner makes a profit from the machine?
a. 133
b. 223
c. 285
d. 286
Answer- b
I got d
How?
3.5x = 1000
x = 1000/3.5
x = ?
well .50 cents is how much it costs the owner. So that deducted from the 4 dollars leaving 3 dollars and 50 cents. I did 1000 dollars divided by the 3.50 cents and got 285.7. I rounded up which equal 286. How did you get your answer?
Oh, I didn't subtract the .50 I added it. I see what I did. Thanks!
I hope Andy gets his decimals/cents straight!
.50 cents = half a cent
3.50 cents = three and a half cents
I think he means dollars -- he should drop the decimal points.
To determine the correct answer, we need to calculate the total cost to the store owner and the total revenue from selling the laminated items. Once the revenue exceeds the cost, the owner will make a profit.
Let's break down the costs and revenue:
The machine cost $1000 initially. This is a one-time cost and doesn't change.
The store owner pays $0.50 for each laminated item. Therefore, the total cost per item is $0.50.
The store owner charges customers $4.00 per laminated item. This is the selling price.
To find out when the store owner makes a profit, we need to calculate how many items the owner needs to sell to cover the machine cost.
Let's set up the equation:
Revenue = Cost + Machine cost
Revenue = (Selling price per item) x (Number of items sold)
Cost = (Cost per item) x (Number of items sold)
Substituting the given values:
$4.00 x (Number of items sold) = $0.50 x (Number of items sold) + $1000
Now, we can solve for the number of items sold:
$4.00 x (Number of items sold) - $0.50 x (Number of items sold) = $1000
$3.50 x (Number of items sold) = $1000
Number of items sold = $1000 / $3.50
Number of items sold = 285.71 (approximately)
Since the number of items must be a whole number, we round up to the nearest whole number, which is 286.
Therefore, the correct answer is d. 286.