Express the situation as a system of two equations in two variables. A corn and
ID: 3038618 • Letter: E
Question
Express the situation as a system of two equations in two variables.A corn and soybean commodities speculator invested $15,000 yesterday with twice as much in soybean futures. How much did she invest in each?
X= what amount invested in corn futures Y= what amount invested in soybean futures Express the situation as a system of two equations in two variables.
A corn and soybean commodities speculator invested $15,000 yesterday with twice as much in soybean futures. How much did she invest in each?
X= what amount invested in corn futures Y= what amount invested in soybean futures
A corn and soybean commodities speculator invested $15,000 yesterday with twice as much in soybean futures. How much did she invest in each?
X= what amount invested in corn futures Y= what amount invested in soybean futures
Explanation / Answer
According to the given information,
Total amount invested is $15,000. So,
x + y= 15000 ... (1).
Again, they said twice is invested in soybean.
So, y = 2x. ... (2)
Substitute y=2x from (2) in (1), we get
x + 2x = 15000
3x = 15000
Divide both sides by 3,
x = 15000/3 = 5000
Substitute in (2),
y = 2x = 2(5000) = 10000
So,
X= what amount invested in corn futures = $5,000
Y= what amount invested in soybean futures = $ 10,000
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