1 Answer

KorsG · Answer 1 · 2021-10-26T01:16:57+0000

Question:

A machine made 2 2/6 pencils in 3 3/4 minutes. How many pencils would the machine have made after 9 minutes?

Answer:

$(504)/(90)\ or\ 5.6$ pencils is made after 9 minutes

Solution:

Given that,

A machine made 2 2/6 pencils in 3 3/4 minutes

Which means,

2(2)/(6) = (14)/(6)

3(3)/(4) = (15)/(4)

Let "x" be the number of pencils made in 9 minutes

Therefore,

$(14)/(6)\ pencils = (15)/(4)\ minutes\\\\x\ pencil = 9\ minutes$

This forms a proportion and we can solve by cross multiplying

$(14)/(6) * 9 = (15)/(4) * x\\\\x = (14)/(6) * 9 * (4)/(15)\\\\x = (504)/(90)\\\\x = 5.6$

Thus,
$(504)/(90)\ or\ 5.6$ pencils is made after 9 minutes

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