Question

The first shift of GME Corporation produced 2 4 /5 times as many lanterns as the second shift. GME produced 4,940 lanterns in November. How many lanterns did GME produce on each shift?

Answer 1

Given:

The first shift of GME Corporation produced 2 (4/5) times as many lanterns as the second shift.

Let, x be the number of lanterns GME produced by second shift.

So, the number of lanterns GME produced by first shift is,

$2\frac{4}{5}x=(2+\frac{4}{5})x=\frac{14}{5}x$

GME produced 4,940 lanterns in November.

$\begin{gathered} x+\frac{14}{5}x=4940 \\ \frac{19}{5}x=4940 \\ 19x=4940\times5 \\ x=\frac{24700}{19} \\ x=1300 \end{gathered}$

The number of lanterns GME produced by each shift is,

$\begin{gathered} \text{Second shift=x=1300} \\ \text{First shift=}\frac{14}{5}x=\frac{14}{5}\times1300=3640 \end{gathered}$

Answer:

First shift = 3640

Second shift = 1300