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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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