Question

Rockin' Reggie's Music Shop sells about 200 guitar picks each week. Reggie orders picks by the gross (144) from a distributor. About how many gross should Reggie order for a three month supply.

Answer 1

1872 gross should Reggie order for a three month supply.

Explanation:

Given:

200 guitar picks each week.

To Find:

How many gross should be ordered for three months period

Solution:

Now the guitar picks corresponds to the order picks by gross as follows;

given that 200 guitar picks corresponds to 144 gross orders

Now 200 are sold for each weeks i.e 7 days

Now for 3 months there are approximately 13 weeks

so Total sell for 3 months=13*200=2600 guitars

Now The ratio of guitar picks to gross orders is ,

144/200

=1/1.39=0.72

So 2600 guitars corresponds to 2600*(1/1.39)

i.e. 2600/1.39

=1872 Gross orders are required to get three month of supply