SOLUTION: The track team sold 40 t-shirts. Short sleeve t-shirts sold for $9.90 and long sleeve t-shirts sold for $12.75. In all, $421.65 was taken in. How many short sleeve t-shirts were

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: The track team sold 40 t-shirts. Short sleeve t-shirts sold for $9.90 and long sleeve t-shirts sold for $12.75. In all, $421.65 was taken in. How many short sleeve t-shirts were      Log On


   



Question 1182442: The track team sold 40 t-shirts. Short sleeve t-shirts sold for $9.90 and long sleeve t-shirts sold for $12.75. In all, $421.65 was taken in.
How many short sleeve t-shirts were sold?

Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946) About Me  (Show Source):
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x Number of half T shirts
y Number of Full T shirts


x + y = 40.00


9.90 x + 12.75 y = 421.65 .............2
Eliminate y
multiply (1)by -12.75
Multiply (2) by 1
-12.75 x -12.75 y = -510.00
9.90 x 12.75 y = 421.65
Add the two equations
-2.85 x = -88.35
/ -2.85
x = 31.00
plug value of x in (1)
x + y = 40
31.00 + y = 40
y = 9
y = 9
Ans x = 31
y = 9.00
31 Number of half T shirts
9 Number of Full T shirts

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
v of the long sleeved
40-v of the short sleeved
12.75v%2B9.9%2840-v%29=421.65
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12.75v%2B9.9%2A40-9.9v=421.65
%2812.75-9.9%29v%2B9.9%2A40=421.65
highlight_green%28v=%28421.65-9.9%2A40%29%2F%2812.75-9.9%29%29
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