A boy scout troop is selling Christmas trees at a local tree lot. In the morning, they sold 14 Douglas Fir trees and 16 Noble Fir trees, earning a total of $1,736. In the afternoon, they sold 5 Douglas Fir trees and 16 Noble Fir trees, earning a total of $1,340. How much does each type of tree cost?
+130516 Let x be the price of each Douglas fir tree and y be the price of each Noble fir tree....and we have this system of equations
14x + 16y = 1736
5x + 16y = 1340 subtract the second equation from the first and we get
9x = 396 divide both sides by 9
x = $ 44 = cost of each Douglas fir
And using either equation we can find the cost of each Noble fir
5(44) + 16y = 1340
220 + 16y = 1340 subtract 220 from each side
16y = 1120 divide both sides by 16
y = $ 70 = cost of each Noble fir
