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The music center had 200 instruments. 70% of them were violins and the remaining are guitars. After a large sale of violins, the number of violins was 60% of all instruments. How many violins were sold?

 Apr 13, 2020
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The music center starts with 200 instruments, 70% were violins and the rest were guitars.

 

70% of 200 =  140   --->  so, it started with 140 violins and 60 guitars.

 

The center sold a bunch of violins and then the violins were only 60% of their instruments.

 

At this time 40% of its instruments were guitars.

This means that the 60 guitars represented 40% of their instruments.

 

To find how many instruments (call this total number "x") they still had, we can use this equation:

     40% · x  =  60   --->   0.40x  =  60   --->   x  =  60 / 0.40   --->   150

 

This means that the center still had 150 instruments,

So, they must have sold 200 - 150 = 50 instruments and, since they sold only violins,

they must have sold 50 violins..

 Apr 13, 2020

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