SOLUTION: A school band ordered hats for $2 and large T-shirts for $5. They bought 100 items in all for $380. Use a graph of a system of equations to find how many hats and T-shirts the band

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A school band ordered hats for $2 and large T-shirts for $5. They bought 100 items in all for $380. Use a graph of a system of equations to find how many hats and T-shirts the band      Log On


   

Question 1052598: A school band ordered hats for $2 and large T-shirts for $5. They bought 100 items in all for $380. Use a graph of a system of equations to find how many hats and T-shirts the band ordered.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x, how many hats
y, how many T-shirts

PRICES for the items are $2 per hat, and $5 per T-shirt.

Write equations that account for total items, and the cost.
system%28x%2By=100%2C2x%2B5y=380%29


Intersection point is the solution.
Cartesian coordinate points are as (x,y).
graph%28400%2C400%2C-5%2C100%2C-5%2C100%2C-x%2B100%2C-%282%2F5%29x%2B76%29
Not easy to read the graph displayed here. You can find an accurate answer ON PAPER GRAPH, because controlling the scaling is easier.



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2x%2B5y-2x-2y=380-200
3y=180
y=60
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x=40