Answered

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



Answer :

GinnyAnswer
To solve the problem of finding how many pounds of materials one crate holds, Jen will use cross-multiplication. Here are the step-by-step instructions for solving the problem:

1. Set up the given proportion:
[tex]\[ \frac{5}{20} = \frac{1}{x} \][/tex]

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

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

4. Solve for [tex]\( x \)[/tex] by isolating [tex]\( x \)[/tex] on one side of the equation. To do this, divide both sides by 5:
[tex]\[ x = \frac{20}{5} \][/tex]

5. Simplify the division:
[tex]\[ x = 4 \][/tex]

Thus, one crate holds 4 pounds of materials.

The correct step described from the given options is:
Cross multiply, [tex]\( 5x = 20 \)[/tex].