How to solve for proportions?

Question
Jordan can solve 12 math problems in 3 minutes. How long will it take him to solve 45 problems?




Solution
Write the word problem into an equation.
Let x = how fast Jordan can solve 45 problmes
12:3 = 45: x
Therefore, 12x = 135
x = 11.25

Jordan can solve 45 problems in 11 minutes and 15 seconds!

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Ratios

Question
An area 2,500 square feet of grass produces enough oxygen for a family of 4. What is the area of grass needed to supply a family of 5 with oxygen?




Solution
The above world problem is translated to equation form below:
2,500:4 = x:5

Where x is equal to the area, in square feet, of grass needed to supply a family of 5 with oxygen.

Hence, (2500)(5) = 4x
Then, 4x = 12,500
Therefore, x = 3,125

A 3,125 square feet of grass is needed to supply a family of 5 with oxygen.

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