A farmer calculates that of every 100 seeds of corn he plants, he harvests 84 earn of corn. If he wants to harvest 7200 ears of corn, how many seeds must he plant? ( find at least two different solutions for the following problem. One of them must be by setting and solving an equation)

Respuesta :

100/84= x/7200
84x=720000
Divide by 84
X= 8571

If a farmer wants to harvest 7200 ears of corn, he must plant 8571 seeds of corn.

What is an equation?

"It is a mathematical statement which consists of equal (=) symbol between two algebraic expressions."

For given question,

A farmer calculates that of every 100 seeds of corn he plants, he harvests 84 ears of corn.

Let he plants 'm' seeds, then he harvests 7200 ears of corn.

100 : 84

m : 7200

After cross multiplication we get an equation,

[tex]\Rightarrow 100\times 7200=m\times 84[/tex]

We solve above equation to find the value of m.

[tex]\Rightarrow 100\times 7200=m\times 84\\\\\Rightarrow m=\frac{100\times 7200}{84}\\\\\Rightarrow m=8571.4\\\\\Rightarrow m\approx 8571[/tex]

Therefore, he must plant 8571 seeds of corn.

Learn more about equation here:

https://brainly.com/question/14686792

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