Josh is making candles for the craft fair. he spent $85 to purchase a supply of wax, scents, and wick. it costs him $2.50 for each glass jar he uses to pour the wax into for the candles. josh will charge $10 for each candle. let c represent the number of candles he makes. what is the minimum number of candles josh will need to sell at the craft fair to make a profit?
a. 10c> 85+2.5c
b. 10c≥85-2.5c
c. 10c≥85+2.5c
d. 10c< 85+2.5c

10 c > 85 + 2.5 c ⇒ answer A

Josh will need to sell 12 candles to make a profit

Step-by-step explanation:

- Josh is making candles for the craft fair

- He spent $85 to purchase a supply of wax, scents, and wick

- It costs him $2.5 for each glass jar he uses to pour the wax into

  for the candles

- Josh will charge $10 for each candle

- Let c represent the number of candles he makes

- We need to find the minimum number of candles josh will need to sell

  at the craft fair to make a profit

∵ The cost of making the c candles is $85 fixed amount for supplies

   and $2.5 for each candle

∴ The cost price to make the c candles is 85 + 2.5 c

∵ He will charge each candle for $10

∴ The selling price of the c candles is 10 c

- To make a profit the selling price must be greater than the cost price

∵ The cost price of the c candles is 85 + 2.5 c

∵ The selling price of the c candles is 10 c

∴ To make a profit ⇒ 10 c > 85 + 2.5 c

* 10 c > 85 + 2.5 c

- Lets solve the inequality to find the minimum number of candles Josh

  will need to sell to make a profit

∵ 10 c > 85 + 2.5 c

- Subtract 2.5 c from both sides

∴ 7.5 c > 85

- Divide both sides by 7.5

∴ c > 11.33

∴ The minimum number is 12 candles

* Josh will need to sell 12 candles to make a profit

Step-by-step explanation:

We are given that

Josh spent money for wax,scents and wick=$85

Cost of each glass jar=$2.5

Cost of 1 candle=$10

Let c be the number of candles.

We have to find the minimum number of candles  Josh will need to sell at the craft fair to make a profit.

Selling price of c  numbers of candles=10 c

Money spend on c candles=85+2.5 c

According to question

Subtract 2.5 c on both sides

Divide by 7.5 on both sides

The minimum number of  candles are 12.

Hence, option A is true.

step-by-step explanation:

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