What does equivalent fracations means?
2 answers:
Equivalent fractions are fractions that represent the same amount or value, but they do it with different top and bottom numbers.
In the image provided, you can see that the figures are the same size and the shaded parts of the two figures are also the same size. Therefore we can write equivalent fractions representing the shaded part of each figure.
Since the first figure has 1 out of 3 rectangles shaded, it represents 1/3. Since the second figure has 2 out of 6 rectangles shaded, it represents 2/6. So we can see that 1/3 must be equivalent to 2/6. Notice that if we multiply the numerator and the denominator of the first fraction by 2, we get the numerator and denominator of the second fraction.
So remember this rule for equivalent fractions. <em>If we multiply or divide the numerator and denominator of a fraction by the same number, we will get an equivalent fraction.</em>
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Answer:
He should plant 100 acres of corn and 400 acres of wheat.
Step-by-step explanation:
This problem can be solved by a siple system of equations.
]x denotes the number of acres of corn
y denotes the number of acres of wheat
Building the system:
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:
The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:
So, we have the following system
If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?
I am going to write y as a function of x in 1), and replace in 2). So:
means that
Now, going back to 1:
He should plant 100 acres of corn and 400 acres of wheat.