At a refinery, 100,000 tons of sand are required to produce each 60,000 barrels of a tarry material. How many tons of sand are required to produce 3,000 barrels of this tarry material?
\(\frac{100000}{60000}=\frac{x}{3000}\)
\(60000x=300000000\)
\(\frac{60000x}{60000}=\frac{300000000}{60000}\)
\(x=5000\)
To solve this problem, we just need to set an equation and find the missing value. 5000 tons of sand will produce 3000 barrels of tarry material.
This is a mathematical expression used to represent word problems and solved arithmetically.
Data;
Let's cross multiply both sides and solve for x in this equation
\(100000= 60,000\\x = 3000\\x = \frac{100000 * 3000}{60000}\\ x = 5000 tons\)
From the calculations above, 5000 tons of sand will produce 3000 barrels of tarry material.
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