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15 April, 12:43

Lisa has a home-based business making and selling scented soaps. She intially spent $72 to purchase soap-making equipment, and the materials for each pound of soap cost $7. Lisa sells the soap for $10 per pound. Eventually, she will sell enough soap to cover the cost of the equipment. What will be Lisa's total sales and costs be? How much soap will that be?

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  1. 15 April, 12:45
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    Step-by-step explanation:

    Let x represent the number of pounds of soap that she makes and eventually sells.

    She intially spent $72 to purchase soap-making equipment, and the materials for each pound of soap cost $7. This means that the total cost of making x pounds of soap would be

    7x + 72

    Lisa sells the soap for $10 per pound. This means that her revenue for x pounds of soap would be

    10 * x = 10x

    If she eventually sells enough soap to cover the cost of the equipment, then

    7x + 72 = 10x

    10x - 7x = 72

    3x = 72

    x = 72/3 = 24

    She would need to sell make and sell 24 soaps.

    The cost would be

    72 + 7 * 24 = $240

    The total sales would be

    10 * 24 = $240
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