Of the paintings that a certain artist created last year, the number..

let framed paintings be y and un framed be x
x=5y

let y be 20 so x 100 and total 120
48% of 100 and 30% of 20 ; 48+6 = 54 paintings were sold

54/120 *100= option E 45 %

unframed 100
framed 20

\(\frac{(48+6)}{120} *100% = 45%\)

unframed paintings are 5x/6 and framed = x/6, where x are total. sold are (5x*(0.48))/6 + x*(0.30)/6 = 0.45x = 45%

Hi All,

We're told that of the paintings that a certain artist created last year, the number of paintings that were UNFRAMED was 5 times the number of paintings that were FRAMED and 48 percent of the UNFRAMED paintings and 30 percent of the FRAMED paintings were SOLD. We're asked for the percent of the paintings that the artist created last year were SOLD. This question can be solved in a couple of different ways, including by TESTing VALUES.

IF....
# of unframed paintings = 100
# of framed paintings = 100/5 = 20
Total number of paintings = 100 + 20 = 120

# of SOLD unframed paintings = (.48)(100) = 48
# of SOLD framed paintings = (.3)(20) = 6
Total number of SOLD paintings = 48 + 6 = 54

Percent of paintings sold = 54/120 = 9/20 = 45%

Final Answer:

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