# A machine can stamp 40 envelopes in 8 mins. How many of these machines working simultaneously are required or needed to stamp 120 envelopes per minutes.

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## Answers

Answer:24 minutesStep-by-step explanation:let y be the 120 envelope per minutes.40/8 = 120/y40y= 8 x 120 40x =960 x = 960/40 = 24 minutes

Answer: The required number of machines is 24.Step-by-step explanation: Given that a machine can stamp 40 envelopes in 8 mins.We are to find the number of machines that are working simultaneously are required or needed to stamp 120 envelopes per minutes.We will be using the UNITARY method to solve the given problem.In 8 minutes, number of envelopes stamped by a machine = 40.So, in 1 minute, the number of envelopes stamped by the machine is given by[tex]\dfrac{40}{8}=5.[/tex]Now, number of machines required to stamp 5 envelopes in 1 minute = 1.So, number of machines required to stamp 1 envelope in 1 minute is[tex]\dfrac{1}{5}.[/tex]Therefore, the number of machines required to stamp 120 envelopes in 1 minute is given by[tex]\dfrac{1}{5}\times120=24.[/tex]Thus, the required number of machines is 24.