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:
[tex]\frac{504}{90}\ or\ 5.6[/tex] pencils is made after 9 minutes
Solution:
Given that,
A machine made 2 2/6 pencils in 3 3/4 minutes
Which means,
[tex]2\frac{2}{6} = \frac{14}{6}[/tex]
[tex]3\frac{3}{4} = \frac{15}{4}[/tex]
Let "x" be the number of pencils made in 9 minutes
Therefore,
[tex]\frac{14}{6}\ pencils = \frac{15}{4}\ minutes\\\\x\ pencil = 9\ minutes[/tex]
This forms a proportion and we can solve by cross multiplying
[tex]\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[/tex]
Thus, [tex]\frac{504}{90}\ or\ 5.6[/tex] pencils is made after 9 minutes
