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Answer :
To find out how many shells Kyra has, we can follow these steps:
1. Understand the Ratio:
The shells are divided in the ratio of 2:5:3 among Kyra, Thomas, and Zahra. This means for every 2 shells Kyra gets, Thomas gets 5, and Zahra gets 3.
2. Add the Parts of the Ratio for Thomas and Zahra:
Thomas and Zahra share shells in the ratio of 5:3. To find their combined part in the ratio, add these two numbers together: 5 (for Thomas) + 3 (for Zahra) = 8.
3. Connect Ratio to Total Number of Shells for Thomas and Zahra:
Thomas and Zahra together have 80 shells, and this corresponds to the 8 parts of the ratio.
4. Find the Value of Each Part:
To determine how many shells one part represents, divide the total number of shells Thomas and Zahra have by their combined parts in the ratio:
[tex]\[
\text{One part} = \frac{80 \text{ shells}}{8 \text{ parts}} = 10 \text{ shells per part}
\][/tex]
5. Calculate Kyra's Share:
Kyra's ratio part is 2. Therefore, to find out how many shells Kyra has, multiply the value of one part by Kyra's ratio part:
[tex]\[
\text{Kyra's shells} = 2 \times 10 = 20
\][/tex]
Therefore, Kyra has 20 shells.
1. Understand the Ratio:
The shells are divided in the ratio of 2:5:3 among Kyra, Thomas, and Zahra. This means for every 2 shells Kyra gets, Thomas gets 5, and Zahra gets 3.
2. Add the Parts of the Ratio for Thomas and Zahra:
Thomas and Zahra share shells in the ratio of 5:3. To find their combined part in the ratio, add these two numbers together: 5 (for Thomas) + 3 (for Zahra) = 8.
3. Connect Ratio to Total Number of Shells for Thomas and Zahra:
Thomas and Zahra together have 80 shells, and this corresponds to the 8 parts of the ratio.
4. Find the Value of Each Part:
To determine how many shells one part represents, divide the total number of shells Thomas and Zahra have by their combined parts in the ratio:
[tex]\[
\text{One part} = \frac{80 \text{ shells}}{8 \text{ parts}} = 10 \text{ shells per part}
\][/tex]
5. Calculate Kyra's Share:
Kyra's ratio part is 2. Therefore, to find out how many shells Kyra has, multiply the value of one part by Kyra's ratio part:
[tex]\[
\text{Kyra's shells} = 2 \times 10 = 20
\][/tex]
Therefore, Kyra has 20 shells.
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