Question

you sell small candles for 14$ and large candles for 16$ at the warehouse. At the warehouse, you pay x dollars for small candles and y dollars for large candles after one month you sold 45 small candles and 68 large candles at a store. A write and simplify and expression. B if you buy the candles at the warehouse for 5$ for small candles and 7$ for large candles what is the profit after your month of selling at the store?. Thank you so much

Answer 1

A) Let's use the variables x and y to represent the cost of small and large candles, respectively. The revenue from selling small candles is 14 times the number of small candles sold, or 14 times 45 = 630 dollars. The revenue from selling large candles is 16 times the number of large candles sold, or 16 times 68 = 1088 dollars. The total cost of buying the candles from the warehouse is the cost of the small candles plus the cost of the large candles, which is 45x + 68y dollars.

Therefore, the expression for the profit after selling the candles at the store for one month is:

Profit = (Revenue from small candles + Revenue from large candles) - Cost of buying the candles
Profit = (14 * 45 + 16 * 68) - (45x + 68y)
Profit = 630 + 1088 - 45x - 68y
Profit = 1718 - 45x - 68y

B) If the cost of buying small candles is 5 dollars and the cost of buying large candles is 7 dollars, then we can substitute x = 5 and y = 7 into the expression for profit to find the actual profit:

Profit = 1718 - 45(5) - 68(7)
Profit = 1718 - 225 - 476
Profit = 1017

Therefore, the profit after selling the candles at the store for one month would be 1017 dollars if the cost of buying small candles is 5 dollars and the cost of buying large candles is 7 dollars.