SOLUTION: A store is selling compact discs for $10.50 and $8.50. You buy 10 discs and spend a total of $93. How many compact discs did you buy that cost $10.50? How many did you buy that

Question 187777This question is from textbook Algebra 1
: A store is selling compact discs for $10.50 and $8.50. You buy 10 discs and spend a total of $93. How many compact discs did you buy that cost $10.50? How many did you buy that cost $8.50? I was able to get the answer by process of elimination but I need to figure out how to get the answer using linear equations and and inequalities, I need to see the work so that I can learn how to do this. Thank You Very Much. This question is from textbook Algebra 1

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
10.50x+8.50(10-x)=93
10.50x+85-8.5x=93
2x=93-85
2x=8
x=8/2
x=4 of the $10.50 discs were bought.
10-4=6 oc the $ 8.50 discs were bought.
Proof:
10.50*4+8.50*6=93
42+51=93
93=93
RELATED QUESTIONS
A music store is selling compact discs for $11.50 and $7.50. You buy 12 discs and spend a (answered by checkley75)

A store is selling Compact Discs (CDs)for $10.50 and $8.50. You buy 10 cds for $93. How... (answered by pythagorean thereom smartie)

A music store is selling compact discs for $11.50 and $7.50. You buy 12 discs and spend a (answered by ewatrrr)

A student can afford to spend up to $330. on a stereo and some compact discs. if the... (answered by rfer)

If 90% of James compact discs cost $15 each and if 10% if his compact discs cost 12$... (answered by JulietG)

Audiocasette tapes cost 4 dollars each and compact discs cost 12 dollars each. If the... (answered by checkley71)

The cost to produce one compact disc is $1.25 plus a one-time fixed cost of $2500. The... (answered by nunezs1981)

The ratio of cassettes to compact discs was 10 to 3, and the number of cassettes was 10... (answered by ankor@dixie-net.com,ptaylor)

A music store is selling compact disks for $11.50 and $7.50. You buy 12 disks and... (answered by palanisamy,richwmiller)