Question 159322
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A)For $399.99 price:
Let Betty's portion = {{{b}}}
Bart's portion = {{{B=b+100}}}, $100 more than Betty's contribution
then, {{{highlight(B)+b=399.99}}} ---> {{{highlight(b+100)+b=399.99}}}--> EQN 1
{{{2b=399.99-100=299.99}}}
{{{cross(2)b/cross(2)=cross(299.99)149.995/cross(2)}}}
{{{highlight(b=149.995)}}} ------> Betty's portion of the gift price @ $399.99
And, {{{B=149.995+100=249.995}}}
Check: {{{B+b=399.99}}}
{{{249.995+149.995=399.99}}}
{{{399.99=399.99}}}
B) For $579.99 price: VIA EQN 1 ABOVE,
{{{b+100+b=579.99}}}
{{{2b=579.99-100=479.99}}}
{{{cross(2)b/cross(2)=cross(479.99)239.995/cross(2)}}}
{{{highlight(b=239.995)}}} ------> Betty's portion of the gift price @ $579.99
And, {{{B=239.995+100=339.995}}}
Check: {{{B=B=579.99}}}
{{{339.995+239.995=579.99}}}
{{{579.99=579.99}}}
.
CONCLUSION: Betty's portion ranges from $149.995 to $239.995
Thank you,
Jojo</pre>