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Brianna and Aisha start a small business making handmade soaps to sell at fairs and local stores.
Brianna can make 50 bars of soap in 40 hours, and Aisha can make 50 bars of soap in 75 hours. How long will it take Aisha to make 50 bars of soap?

Sagot :

Answer: 75 hours

Step-by-step explanation:

"Aisha can make 50 bars of soap in 75 hours"

The division is one of the four fundamental arithmetic operations. The time it will take to make 50 soap bars if they both work together is 25.4543 hours.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.


Given that Brianna can make 50 bars of soap in 40 hours, and Aisha can make 50 bars of soap in 75 hours. Therefore, we can write,

Soaps Made Briana in an hour = 50 bars/40 hours

                                                   = 1.25 soap bars per hour

Soaps Made Aisha in an hour = 50 bars/75hours

                                                   = 0.7143 soap bars per hour

Now, together the number of soap bars they can make in an hour is,

Number of soap bars in an hour = 1.25 + 0.7143 soap bars per hour

                                                      = 1.9643 soap bars per hour

Further, the time it will take to make 50 soap bars if they both work together is,

Time is taken = Number of soaps/ Number of soaps in an hour

                       = 50 soap / 1.9643 soap bars per hour

                       = 25.4543 hours

Hence, the time it will take to make 50 soap bars if they both work together is 25.4543 hours.

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