Alg.2 "In one week a music store sold 9 guitars for a total of $3611.Electric Guitars sold for %479 each and acoustic guitars sold for $339 each. How many of each type were sold?"
+3454 This problem is similar to this one: http://web2.0calc.com/questions/need-help-asap-with-explaniation-please
If you need help understanding the concept, read my answer at that link. It's basically a simpler version of this one.
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First we need to set up two equations and solve them by elimination. (just like solving inequalities)
A+E=9 ---A is acoustic guitars and E is electric guitars, there are 9 total
339A + 479E = 3611 ---Accoustic sold for $339 and Electric sold for $479, total profit was $3611
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Rewrite the second equation so we can solve by elimination
-339(A+E=9)
-339A -339E= -3051
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Solve by eliminiation
339A + 479E = 3611
-339A -339E= -3051
140E = 560
E = 4 --- 4 electric guitars sold
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Put in 4 for E in out first equation to see how many acoustics sold
A+(4)=9
A=5 ---5 acoustics sold
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Check
339A + 479E = 3611
339(5) + 479(4) = 3611
1695 + 1916 = 3611
3611 = 3611 ✔
+3454 This problem is similar to this one: http://web2.0calc.com/questions/need-help-asap-with-explaniation-please
If you need help understanding the concept, read my answer at that link. It's basically a simpler version of this one.
--------
First we need to set up two equations and solve them by elimination. (just like solving inequalities)
A+E=9 ---A is acoustic guitars and E is electric guitars, there are 9 total
339A + 479E = 3611 ---Accoustic sold for $339 and Electric sold for $479, total profit was $3611
----
Rewrite the second equation so we can solve by elimination
-339(A+E=9)
-339A -339E= -3051
-----
Solve by eliminiation
339A + 479E = 3611
-339A -339E= -3051
140E = 560
E = 4 --- 4 electric guitars sold
-------
Put in 4 for E in out first equation to see how many acoustics sold
A+(4)=9
A=5 ---5 acoustics sold
------
Check
339A + 479E = 3611
339(5) + 479(4) = 3611
1695 + 1916 = 3611
3611 = 3611 ✔
