SOLUTION: Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide-angle photos cost $50 each. Part

Algebra ->  Equations -> SOLUTION: Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide-angle photos cost $50 each. Part      Log On


   

Question 1178479: Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide-angle photos cost $50 each.
Part A
Suppose the photographer takes 11 aerial photos. What is the maximum number of wide-angle photos that Paula can afford?
wide-angle photos
Part B
Explain how to find the number of wide-angle photos that Paula can afford.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let aerial photos be x and wide-angle photos y
aerial photos cost 25 each and wide-angle photos 50 each
total cost is 25x%2B50y
if Paula can spend no more than $500, than
25x%2B50y%3C=500
x%2B2y%3C=20
Part A
Suppose the photographer takes 11 aerial photos. What is the maximum number of wide-angle photos that Paula can afford?
x=11
11%2B2y%3C=20
2y%3C=20-11
2y%3C=9
y%3C=4.5
the maximum number of wide-angle photos that Paula can afford is 4

Part B
Explain how to find the number of wide-angle photos that Paula can afford.
the number of wide-angle photos that Paula can afford is y and is less or equal to 4.5
since she cannot have a fraction of the photo, the number of wide-angle photos that Paula can afford is 4