Question

lara makes salad dressing by mixing 8 spoonfuls of oil and some vinegar. the tape diagram shows the ratio of oil to vinegar. complete the table. original ratio amount (spoonfuls) oil 8 vinegar 1 total dressing 3

Explanation:

Step1: Analyze the tape diagram

From the tape diagram, the length of the oil segment is 2 parts and vinegar is 1 part. So the original ratio of oil to vinegar is 2:1, and total ratio parts are \(2 + 1=3\), which matches the total ratio given (3).

Step2: Find the multiplier

We know oil has 8 spoonfuls and its ratio part is 2. Let the multiplier be \(x\). So \(2x = 8\), solving for \(x\) gives \(x=\frac{8}{2}=4\).

Step3: Calculate vinegar amount

Vinegar's ratio part is 1, so amount of vinegar is \(1\times x = 1\times4 = 4\) spoonfuls.

Step4: Calculate total dressing amount

Total ratio parts are 3, so total dressing amount is \(3\times x=3\times4 = 12\) spoonfuls.

Step5: Fill the table

• Oil's original ratio: 2 (since oil is 2 parts, vinegar 1 part, total 3)
• Vinegar amount: 4
• Total dressing amount: 12

Answer:

	Original ratio	Amount (spoonfuls)
Vinegar	1	4
Total dressing	3	12

(For the blanks in the table: Oil's original ratio is 2, Vinegar amount is 4, Total dressing amount is 12)