SOLUTION: Bart and Betty are looking at color televisions that range in price from $399.99 to $579.99. Bart can afford more than Betty and has agreed to spend $100 more than Betty when they

Algebra ->  Inequalities -> SOLUTION: Bart and Betty are looking at color televisions that range in price from $399.99 to $579.99. Bart can afford more than Betty and has agreed to spend $100 more than Betty when they       Log On


   

Question 159322: Bart and Betty are looking at color televisions that range in price from $399.99 to $579.99. Bart can afford more than Betty and has agreed to spend $100 more than Betty when they purchase this gift for their mother. Let b represent Betty’s portion of the gift.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

A)For $399.99 price:
Let Betty's portion = b
Bart's portion = B=b%2B100, $100 more than Betty's contribution
then, highlight%28B%29%2Bb=399.99 ---> highlight%28b%2B100%29%2Bb=399.99--> EQN 1
2b=399.99-100=299.99
cross%282%29b%2Fcross%282%29=cross%28299.99%29149.995%2Fcross%282%29
highlight%28b=149.995%29 ------> Betty's portion of the gift price @ $399.99
And, B=149.995%2B100=249.995
Check: B%2Bb=399.99
249.995%2B149.995=399.99
399.99=399.99
B) For $579.99 price: VIA EQN 1 ABOVE,
b%2B100%2Bb=579.99
2b=579.99-100=479.99
cross%282%29b%2Fcross%282%29=cross%28479.99%29239.995%2Fcross%282%29
highlight%28b=239.995%29 ------> Betty's portion of the gift price @ $579.99
And, B=239.995%2B100=339.995
Check: B=B=579.99
339.995%2B239.995=579.99
579.99=579.99
.
CONCLUSION: Betty's portion ranges from $149.995 to $239.995
Thank you,
Jojo