A participant in a tv gameshow ran into a streak of bad luck. On the first question she lost half of her remaining money. on the second question she lost half of her remaining money. On the following question the wrong answer cost her $300. She lost half of her remaing money on the 4th question. Finally she answered a question correcly and gained $200. Her final amount of money was $1200. How much money did she have before her losing streak began?
*Hint: work backwords.
Explain
2006-09-12 09:02:13 · 6 answers · asked by Anonymous in Education & Reference ➔ Homework Help
The answer is $9200.00
Working Backwards
Final amount $1200
Won $200
therefore had $1000
Lost half money
Therefore had $2000
wrong answer loses $300
Therefore had $2300
Lost half money
Therefore had $4600
Lost half money
Therefore had $9200
2006-09-12 09:08:52 · answer #1 · answered by hoppo 2 · 1⤊ 0⤋
ok subtract 200 from 1200 then add 300 you will get 1300 then multiply 1300 by .75 take the sum of that wich is 975 so adding 975 plus 1300 to get 2275 and to check you will do the oppisit of that 2275 minus 975 is 1300 minus 300 is 1000 plus 200= 1200
2006-09-12 16:10:23 · answer #2 · answered by alex h 3 · 0⤊ 0⤋
Final money: 1200
To set the equation up, use parenthesis for each question.
Starting money = (((((1200 - 200)*2)+300)*2)*2)
= ((((1000*2)+300)*2)*2)
= (((2000+300)*2)*2)
= ((2300*2)*2)
= 4600 * 2
= $9800
check:
9800 / 2 (first question = 4600 /2 (second question) =
2300 - 300 (third question) = 2000 /2 (fourth question) =
1000 + 200 (last question = 1200
2006-09-12 16:09:23 · answer #3 · answered by ³√carthagebrujah 6 · 0⤊ 0⤋
any idea how you'd do it? can u make use of the hint??
final amount = 1200
before gaining 200 on 5th qn = 1000
before losing half on 4th qn -> 2000
before losing 300 on 3st qn -> 2300
before losing half on 2rd qn -> 4600
before losing half on 1st qn -> 9200 = original amount
it can be solved directly as:
let x be the original amount; then
after first, left = x/2
after 2nd, left = x/4
after 3rd, left = x/4-300
after 4th, left = 1/2(x/4-300)
after 5th, left = (x/8-150+200)=1200 or x/8 = 1150 or x=9200
2006-09-12 16:20:43 · answer #4 · answered by m s 3 · 0⤊ 0⤋
btw.... it's NOT 12400. that means she ended up with 1650 in the end. UR WRONG!!!! vvvv
2006-09-12 16:08:55 · answer #5 · answered by Chelsea 2 · 0⤊ 1⤋
$1800.00 i think
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2006-09-12 16:10:21 · answer #6 · answered by kathy froggylady40 2 · 0⤊ 0⤋