Question

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?

Answer 1

$\frac{100000}{60000}=\frac{x}{3000}$

$60000x=300000000$

$\frac{60000x}{60000}=\frac{300000000}{60000}$

$x=5000$

Answer 2

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.

What is an Equation?

This is a mathematical expression used to represent word problems and solved arithmetically.

Data;

• 100,000 tons = 60,000 barrels
• x tons = 3,000 barrels

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.

Learn more on equations here;

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