Question 1178479


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+50y}}}

if Paula can spend no more than ${{{500}}}, than

{{{25x+50y<=500}}}
{{{x+2y<=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+2y<=20}}}
{{{2y<=20-11}}}
{{{2y<=9}}}
{{{y<=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}}}