The sale price is 160% of the purchase price.
The owner must buy 4 jackets.
He sells the jackets for 160% of $45, or $72.00.
He can only sell a whole number of jackets, so he needs to sell at least 4 jackets.
How to find the percentage of the purchase price
a. To find the percentage of the purchase price that the sale price represents, use the following formula:
Percentage = (Sale Price / Purchase Price) * 100
In this case, the sale price is $96.00 and the purchase price is $60.00. Plug these values into the formula:
Percentage = ($96.00 / $60.00) * 100 = 160%
Therefore, the sale price is 160% of the purchase price.
b. To determine how many jackets the owner must buy for the total jacket sales to be at least $250.
Let's assume the owner buys "x" jackets.
If the sale price is increased by the same percentage found in part a, the new sale price for the jackets would be:
New Sale Price = $45.00 + (160% * $45.00)
Simplifying the equation:
New Sale Price = $45.00 + ($0.60 * $45.00)
= $45.00 + $27.00 = $72.00
To find the number of jackets the owner must buy, set up the following equation:
Total Jacket Sales = Number of Jackets * New Sale Price
$250.00 = x * $72.00
Now, solving for x:
x = $250.00 / $72.00 ≈ 3.472
Since the owner can only sell a whole number of jackets, the owner must buy at least 4 jackets to ensure the total jacket sales are at least $250.
Therefore, the owner must buy 4 jackets.
He sells the jackets for 160% of $45, or $72.00.
He can only sell a whole number of jackets, so he needs to sell at least 4 jackets.
The owner of a small store buys coats for $60.00 each. Answer parts a and b.
a. He sells the coats for $96.00 each. What percent of the purchase price is the sale price?
The sale price is -------- % of the purchase price.
b. The owner increases the sale price by the same percent that you found in part a when he buys jackets for $45 and sells them. How many jackets must the owner buy for the total jacket sales to be at least $250?
Explain your answer.
The owner must buy ---- jacket(s).
Explain your answer.
He sells the jackets for ----% of $45, or $-----
He can only sell a whole number of jackets, so he needs to sell ----------.