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Five crates hold 20 pounds of materials. Jen set up this problem to find how many pounds of materials one crate holds:
[tex]\[ \frac{5}{20} = \frac{1}{x} \][/tex]

Which of the following best describes how Jen will continue to solve the problem?

A. Multiply across, [tex]\( 5 = 20x \)[/tex]
B. Add across, [tex]\( 6 = 20x \)[/tex]
C. Cross add, [tex]\( 5 + x = 21 \)[/tex]
D. Cross multiply, [tex]\( 5x = 20 \)[/tex]


Sagot :

To determine how many pounds of materials one crate holds, let's examine Jen's equation and solve it step-by-step.

The given equation is:
[tex]\[ \frac{5}{20} = \frac{1}{x} \][/tex]

We need to find the value of [tex]\( x \)[/tex] that satisfies this equation. The problem is simplified by using the method of cross multiplication. Here's how to proceed:

1. Cross multiply to eliminate the fractions:
[tex]\[ 5 \cdot x = 20 \cdot 1 \][/tex]

2. Simplify the equation:
[tex]\[ 5x = 20 \][/tex]

This step-by-step method shows that Jen will solve the problem by cross multiplying to get the equation [tex]\( 5x = 20 \)[/tex].

Therefore, the correct answer is:

Cross multiply, [tex]\( 5x = 20 \)[/tex].