Solving Proportions Quiz Part 2
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A 10-acre field produced 750 bushels of corn. At that rate, how much corn can be produced from a 14-acre field?
750 bushels / 10 acre = x bushels / 14 acre
750 / 10 = x / 14
Cross multiply
750 ∙ 14 = 10 ∙ x
10500 = 10 x
Divide both sides by 10
1050 = x
x = 1050 bushels
Thanks mate
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To solve this problem, we can set up a proportion using the given information.
We know that the ratio of acres to bushels of corn is constant. So, we can set up the equation:
10 acres / 750 bushels = 14 acres / x bushels
To find the value of x, which represents the number of bushels in a 14-acre field, we can cross-multiply:
10 acres * x bushels = 750 bushels * 14 acres
10x = 10,500
To isolate x, we can divide both sides of the equation by 10:
x = 10,500 / 10
x = 1,050 bushels
Therefore, a 14-acre field can produce 1,050 bushels of corn.