An electronics store sells used game consoles for $79.00 and new ones for $149. After two weeks the store made a profit of $1,456 by selling 14 to total game consoles. How many of each type of console were sold?
Answers
Answer:
5 used and 9 new
Step-by-step explanation:
x+y=14
79x+149y=1456
79(14-y)+149y=1456
1106-79y+149y=1456
70y=350
y=350/70
y=5 then x=9
5 used and 9 new consoles were sold
Given: An electronics store sells used game consoles for $79.00 and new ones for $149 .profit of $1,456 by selling 14 to total game consoles
To find : How many of each type of console were sold
Solution:
Total Games Consoles sold = 14
Let say Used game Consoles sold = A
then New games Console Sold = 14 - A
Each Used game Console sold = $ 79
A Used game Console sold = 79A $
Each New game Console sold = $ 149
14-A new game Console sold = 149(14 - A) $
=> 79A + 149(14 - A) = 1456
=> -70A = 1456 - 149 * 14
=> -5A = 104 - 149
=> -5A = -45
=> A = 9
=> 14 - A = 5
Used game Consoles sold = 9
New games Console Sold = 5
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