# math

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A vendor at a concert sells new and used CDs. The new CDs cost 2.5 times as much as the old CDs. If 4 used CDs and 9 new CDs cost \$159, what is the price of each item?

• math -

old cds = x
new cds = 2.5x
4old cds + 9 new cds = 159
4(x) + 9(2.5x)=159
4x+22.5x=159
26.5x=159
x=6 so old cds cost \$6.
and new cds cost 2.5(6)=\$15.

Check:
4(6)+9(15)=159
24+ 135 =159
159=159

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