Best friend Daniela and Jeanette both get weekly allowance are in the ratio 3:5, If Jeanette gets $15 one week, how much did Daniela get? Use a tape diagram to help organize your thinking.

Answer 1

To solve for Daniela's allowance based on the ratio of their allowances and Jeanette's known allowance, we start from the given ratio of 3:5.

1. Understanding the Ratio:

   • The ratio of Daniela's allowance to Jeanette's allowance is 3:5. This means for every 3 parts Daniela gets, Jeanette gets 5 parts.

2. Finding the Value of Each Part:

   • Jeanette's allowance is $15. In the ratio, Jeanette represents 5 parts.
   • To find the value of one part, we divide Jeanette's allowance by the number of parts she represents: \[ \text{Value of one part} = \frac{15}{5} = 3. \]

3. Calculating Daniela's Allowance:

   • Daniela's allowance corresponds to 3 parts. Now that we know the value of one part is $3, we can calculate Daniela's total allowance by multiplying the value of one part by the number of parts she represents: \[ \text{Daniela's allowance} = 3 \text{ parts} \times 3 \text{ (value of one part)} = 9. \]

So, Daniela gets $9.

Tape Diagram Representation:

To visualize this with a tape diagram:

|----|----|----|                    (3 parts for Daniela)
D:  1    2    3                     $9

|----|----|----|----|----|          (5 parts for Jeanette)
J:  1    2    3    4    5             $15

In the tape diagram:

• Daniela’s tape is composed of three segments representing her total of $9.
• Jeanette’s tape is composed of five segments representing her total of $15.

Thus, the answer is confirmed: Daniela gets $9.