If The Price of a large candy bar rose by 10 cents, a buyer would receive 2 fewer candy bars for $6.00 than she does at the current price. What is the current price?
let the current price be P and number of candy bars she receives be N
eq1 N=600/P P>0
eq2 N+2=600/[p-10] but N=600/P
600/P+2=600/[P-10] multiply both sides of equal sign with P
600+2P =600P/[p-10] multiply both sides by p-10
600[P-10] + 2P[P-10]=600P
600P-6000+2P^2-20P=600P
2P^2-20P-6000=0
P^2-10P-3000=0
P=10 +/-[100+12000]^1/2 all over 2
P=10+/- [12100]^12 all over 2
P=10+/- 110 all over 2
P=60 or P=-50 impossible
P=60 cents answer
Arthur
If the price of a large candy bar rose by 10 cents,
a buyer would receive 2 fewer candy bars for $6.00 than she does at the current price.
What is the current price?
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