Question

15 POINTS!!!!!!! A music store has 500 guitar picks. They order 15 boxes with 9 picks each. They sell 19 boxes that have 10 picks each. The store manager says they now have about 450 guitar picks.
Is the manager's estimate reasonable?∵∴

Answer 1

Answer:

B. The manager estimate is reasonable. They ordered about 150 picks and sold about 200 picks, so they should have about 50 fewer than they started with.

Step-by-step explanation:

Given:-

Previous guitar In-stock before ordering and selling(P) = 500 picks. -----(equation 1)

Now, ordered guitar is 15 boxes of 9 picks each.

Ordered guitar=15 $\times$ 9

Hence, Ordered guitar(O)=135 picks ------------(equation 2)

Now, selled guitar is 19 boxes of 10 picks each.

So, Selled guitar = 19$\times$ 10

Hence, Selled guitar(S) =190 picks   ------------(equation 3)

Now to calculate current in-stock of guitar we can write as,

Current guitar in-stock(C) =  Previous in-stock(P) + Ordered guitar(O) - Selled guitar(S)

$C=P+O-S$

$C=500+135-190$

$C=635-190$

$C=445$

$\therefore$ Current guitar in-stock(C) = 445 picks ------(equation 4)

So, difference in-stock (D) = Previous guitar in-stock(P)- Current guitar in stock(C)

$D=P-C$

$D=500-445$

$D=55$

Therefore Difference in Previous and current stock of guitar(D) = 55 = 50 pick approx.

Hence, the manager estimate is reasonable. They ordered about 150 picks and sold about 200 picks, so they should have about 50 fewer than they started with.