Question

6 - mi - ta - lesson 2

1. draw a tape diagram to represent the total numbers of triangles and hexagons that tyler needs to create 3 suns.
2. rileys recipe for salad dressing calls for 2 tablespoons of vinegar for every 3 tablespoons of olive oil.

number of
tablespoons of
vinegar
number of
tablespoons of
olive oil

a. draw a tape diagram to represent the ratio of the number of tablespoons of vinegar to the number of tablespoons of olive oil.
if riley uses 4 tablespoons of vinegar, how many tablespoons of olive oil does she need? draw a tape diagram to show your thinking.

Explanation:

Step1: Identify the ratio

The ratio of vinegar to olive - oil is 2:3.

Step2: Set up a proportion

Let \(x\) be the number of tablespoons of olive - oil when 4 tablespoons of vinegar are used. The proportion is \(\frac{2}{3}=\frac{4}{x}\).

Step3: Cross - multiply

\(2x = 4\times3\).

Step4: Solve for \(x\)

\(2x=12\), so \(x = 6\).

Answer:

6 tablespoons of olive oil.