SOLUTION: Need help putting this world problem into a linear equation: There are three types of phones in a shipment: Android, Blackberry, and iphone. The shipment has the following spe

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Question 682064: Need help putting this world problem into a linear equation:
There are three types of phones in a shipment: Android, Blackberry, and
iphone. The shipment has the following specifications:
- The total number of phones is 195.
- The total value is $88225.
- The number of iphones equals twice the number of Android phones and
twice the number of Blackberry phones combined.
- The value of each phone is $195 for an Android, $150 for a Blackberry,
and $595 for an iphone
Found 2 solutions by JBarnum, mananth:
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
A=Android
B=Blackberry
i=iphone
Money wise:
i=595
A=195
B=150
3 equations
Amount of phones
i%2BA%2BB=195
i=2A%2B2B
money equation
595i%2B195A%2B150B=88225
so start with the first 2 equations
%282A%2B2B%29%2BA%2BB=195
3A%2B3B=195 lets solve for A
3A=195-3B
A=65-B
now use third equation and use what i and A equal
595i%2B195A%2B150B=88225 first replace (i)
595%282A%2B2B%29%2B195A%2B150B=88225 now replace the (A)'s
595%282%2865-B%29%2B2B%29%2B195%2865-B%29%2B150B=88225 now solve for B
595%28%28130-2B%29%2B2B%29%2B%2812675-195B%29%2B150B=88225
595%28130%29%2B12675-40B=88225
77350%2B12675-40B=88225
90025-40B=88225
1800-40B=0
1800=40B
highlight%2845=B%29
now you have B plug into the A equation A=65-B
A=65-45
highlight%28A=20%29
now you have A and B plug into i=2A%2B2B
i=2%2820%29%2B2%2845%29
i=40%2B90
highlight%28i=130%29
always check with last equation
i%2BA%2BB=195
%28130%29%2B%2820%29%2B%2845%29=195
195=195 correct
hope this was helpful
~jbarnum~

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Android,...........x
Blackberry,........y
and iphone.--------z


The total number of phones is 195.
x+y+z=195..................(1)
- The total value is $88225. The value of each phone is $195 for an Android, $150 for a Blackberry,
and $595 for an iphone
195x+150y+595z=88225.............(2)
- The number of iphones equals twice the number of Android phones and
twice the number of Blackberry phones combined.
z=2x+2y
2x+2y-z=0.....................(3)
solve for x y & z
You will get 25, 40,130 phones respectively.
m.ananth@hotmail.com