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.​

2 answers
Question:

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.​

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.

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