To determine the number of ounces of glue in each tube, you can follow these steps:
1. Formulate the Equation:
Jackie bought a 3-pack of tubes of glue. Let [tex]\( x \)[/tex] be the total ounces of glue in each tube. If she used 0.27 ounce from the pack and had 1.35 ounces remaining in total, we can formulate the following equation to describe the total glue left:
[tex]\[
3(x - 0.27) = 1.35
\][/tex]
2. Distribute and Simplify:
Distribute the 3 across the terms inside the parentheses:
[tex]\[
3x - 3 \cdot 0.27 = 1.35
\][/tex]
Simplify the equation:
[tex]\[
3x - 0.81 = 1.35
\][/tex]
3. Isolate the Variable:
Add 0.81 to both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
3x = 2.16
\][/tex]
4. Solve for [tex]\( x \)[/tex]:
Divide both sides by 3 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{2.16}{3}
\][/tex]
5. Calculate:
Performing the division, we obtain:
[tex]\[
x = 0.72
\][/tex]
Thus, each tube of glue initially contained 0.72 ounces.
So, the correct way to determine the number of ounces in each tube of glue is to solve for [tex]\( x \)[/tex] in the equation [tex]\( 3(x - 0.27) = 1.35 \)[/tex]. From this calculation, we find that each tube of glue contains 0.72 ounces.
