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Malia split up the large container of salsa that she bought equally into 5 bowls to place around her house for the party. If each bowl contained 8.5 ounces of salsa, which shows the correct equation and value of [tex]x[/tex], the total amount of salsa in the original container?

A. [tex]\frac{x}{5} = 8.5 ; x = 1.7[/tex] ounces

B. [tex]\frac{x}{5} = 8.5 ; x = 42.5[/tex] ounces

C. [tex]5x = 8.5 ; x = 1.7[/tex] ounces

D. [tex]5x = 8.5 ; x = 42.5[/tex] ounces


Sagot :

To find the total amount of salsa in the original container, let's analyze the problem step by step:

1. Understand the Variables:
- Malia has a total of 5 bowls.
- Each bowl contains 8.5 ounces of salsa.
- We need to find the total amount of salsa [tex]\( x \)[/tex] in the original container.

2. Set Up the Equation:
- Since there are 5 bowls and each contains 8.5 ounces, the total amount of salsa can be calculated by multiplying the number of bowls by the amount of salsa per bowl.
- The equation for this would be:
[tex]\[ 5 \times 8.5 = x \][/tex]
Here, [tex]\( x \)[/tex] represents the total amount of salsa in the original container.

3. Solve the Equation:
- Multiply 5 by 8.5:
[tex]\[ 5 \times 8.5 = 42.5 \][/tex]
- So, [tex]\( x = 42.5 \)[/tex]

4. Verify the Correct Answer:
- Substitute [tex]\( x = 42.5 \)[/tex] back into the equation to ensure it balances:
[tex]\[ \frac{42.5}{5} = 8.5 \][/tex]
- This confirms that the value [tex]\( x = 42.5 \)[/tex] is correct.

5. Conclusion:
- The total amount of salsa in the original container is 42.5 ounces.

Therefore, the correct equation and value of [tex]\( x \)[/tex] is:
[tex]\[ 5x = 8.5 \quad \Rightarrow \quad x = 42.5 \text{ ounces} \][/tex]