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(4)/(5)x=(2+(4)/(5))x=(14)/(5)x`

GME produced 4,940 lanterns in November.

`\begin{gathered} x+(14)/(5)x=4940 \\ (19)/(5)x=4940 \\ 19x=4940*5 \\ x=(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=}(14)/(5)x=(14)/(5)*1300=3640 \end{gathered}`

Answer:

First shift = 3640

Second shift = 1300