Question

a machine made 2 2/6 pencils in 3 3/4 minutes. how many pencils would the machine have made after/minute

Answer 1

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:

$\frac{504}{90}\ or\ 5.6$ pencils is made after 9 minutes

Solution:

Given that,

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

Which means,

$2\frac{2}{6} = \frac{14}{6}$

$3\frac{3}{4} = \frac{15}{4}$

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

Therefore,

$\frac{14}{6}\ pencils = \frac{15}{4}\ minutes\\\\x\ pencil = 9\ minutes$

This forms a proportion and we can solve by cross multiplying

$\frac{14}{6} \times 9 = \frac{15}{4} \times x\\\\x = \frac{14}{6} \times 9 \times \frac{4}{15}\\\\x = \frac{504}{90}\\\\x = 5.6$

Thus, $\frac{504}{90}\ or\ 5.6$ pencils is made after 9 minutes