Question

Hello. Could you please help me with this problem? It’s a picture from a computer screen, a bit blurry.

Answer 1

Step-by-step explanation

From the statement, we know that the store:

0. buys instruments and then sells them for 30% more than they paid,

,

1. during a 20% sale, the store offers a clarinet for $93.60.

(1) From point 1, we know that the relation between the original price (Po) and the selling price (Ps) is given by:

`P_s=(1+0.3)*P_o=1.3*P_o\Rightarrow P_o=(P_s)/(1.3).`

(2) From point 2, we know that the relation between the final price with the discount (P_f) and the selling price without the discount (Ps) is:

`P_f=(1-0.2)*P_s=0.8*P_s\Rightarrow P_s=(P_f)/(0.8)=\frac{\text{ \$93.60}}{0.8}=\text{ \$117.}`

(3) Finally, replacing the value of Ps in the equation of point (1), we find that the original price of the instrument was:

`P_o=\frac{\text{ \$117}}{1.3}=\text{ \$90.}`Answer

The store paid approximately $90 for the clarinet.