Alice, Bernice, and Cheryl shared some stamps in the ratio 8:9:18. Alice received 184 stamps. Find the number of stamps that Bernice and Cheryl each received.

**What we know: **
8 : 9 : 18 or 8/9/18 Alice = 184 stamps
**Step 1. **
Set up a ratio for Alice and Bernice 8 : 9 or 184 : X This equation can be written like this: 8/9 = 184/x Solve for X X= 207= Number of stamps received by Bernice
Step 2. Set up a ratio for Cheryl 9 : 18 or 207 : Y This equation can be written like this: 9/18 = 207/Y Solve for Y Y= 414= Number of stamps received by Cheryl

Answered by Brooklyn14 | 2024-06-10

The number of stamps that Bernice and Cheryl each received is 207 and 414 respectively.
Given that, Alice, Bernice, and Cheryl shared some stamps in the ratio 8 : 9 : 18.
What is the ratio?
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Now, 8+9+18 =35
Let the number of stamps be x.
Alice received 184 stamps.
Thus, 8/35 ×x= 184
⇒ 8x =184×35
⇒ 8x =6440
⇒ x=6440/8
⇒ x=805
Number of stamps Bernice received = 9/35 ×805
= 9×23
= 207
Number of stamps Bernice received = 18/35 ×805
= 18×23
= 414
Therefore, the number of stamps that Bernice and Cheryl each received is 207 and 414 respectively.
To learn more about the ratio visit:
brainly.com/question/13419413.
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Answered by bhoopendrasisodiya34 | 2024-06-16

Bernice received 207 stamps, while Cheryl received 414 stamps after sharing the total of 805 stamps in the ratio of 8:9:18 where Alice received 184 stamps.
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Answered by bhoopendrasisodiya34 | 2024-10-02