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7 November, 21:16

Beau charges a $10 base fee plus $5 per hour to mow yards. Jaime charges a $12 base fee plus $4.50 per hour. At what time will beau and Jaime be charging the same total fee?

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  1. 8 November, 00:23
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    After 40 hours.

    Step-by-step explanation:

    Let, after x hours both will charge the same total fees,

    The amount charged by Beau = Base fees + the money for x hours

    = 10 + 5 x

    Similarly the amount charged by Jaime = Base fees + The money for x hours

    = 12 + 4.50 x

    ⇒ 10 + 5x = 12 + 4.50x

    ⇒ 5x - 4.5x = 12 - 10

    ⇒ 0.5x = 2

    ⇒ x = 40

    Hence, after 40 hours they will charge the same fee.
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