The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $5.80. The price of corn is increasing at a constant rate of 5X cents per day while the price of wheat is decreasing at a constant rate of √2(X) – X cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
(A) $4.50
(B) $5.10
(C) $5.30
(D) $5.50
(E) $5.60
Nurul Hai
3.2-5xy/100=5.8-(x*2^(1/2)-x)/100
320+4xy=580-1.41(which is square root of 2)*xy+xy
from this equation i found that xy=2.4
therefore 3,2+2.4=5.6
E
Corn: 3.2 + 5X/100
Wheat: 5.8 - [2^(1/2)*(X) - X]/100
Set: 3.2 + 5X/100 = 5.8 - [2^(1/2)*(X) - X]/100
320 + 5X = 580 - 1.4X + X
5.4X = 260
X = 48
Thus, price that they're equal is: 3.2 + (5*48)/100 = 5.6... (E)!
Yes E.
320+5X=580-√2(X)–X
=> X=48
Level price = $5.6
Nurul Hai
equation is ok
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