Question

angie has three types of writing utensils in her school bag. the model represents the ratio relationship of pencils, pens, and markers in her bag.
pencils
pens
markers
what is the ratio of pencils to all of the writing utensils?
choose one option from each drop - down menu to answer the question.
the ratio of pencils to all of the writing utensils is choose... , because angie has choose... pencils and a total of choose... writing utensils.

Explanation:

Step1: Count the number of pencils

From the model, the number of circles (representing pencils) is 6. So, number of pencils \( n_{pencils} = 6 \).

Step2: Count the number of pens

The number of squares (representing pens) is 7. So, number of pens \( n_{pens} = 7 \).

Step3: Count the number of markers

The number of triangles (representing markers) is 4. So, number of markers \( n_{markers} = 4 \).

Step4: Calculate the total number of writing utensils

Total number of writing utensils \( n_{total} = n_{pencils} + n_{pens} + n_{markers} = 6 + 7 + 4 = 17 \).

Step5: Find the ratio of pencils to all writing utensils

The ratio of pencils to all writing utensils is \( \frac{n_{pencils}}{n_{total}}=\frac{6}{17} \). So the ratio is \( 6:17 \) (or \( \frac{6}{17} \)). Also, Angie has 6 pencils and a total of 17 writing utensils.

Answer:

The ratio of pencils to all the writing utensils is \( \boldsymbol{6:17} \) (or \( \boldsymbol{\frac{6}{17}} \)), Angie has 6 pencils and a total of 17 writing utensils.