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A certain kind of necklace is made from 9 orange, 6 black, and 3 silver beads. What is the maximum number of these...

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by BTGmoderatorLU » Fri Feb 26, 2021 5:12 pm

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Source: Manhattan Prep

A certain kind of necklace is made from 9 orange, 6 black, and 3 silver beads. What is the maximum number of these necklaces that can be made from 55 beads of each color?

A. 18
B. 9
C. 7
D. 6
E. 3

The OA is D
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Source: — Problem Solving |

BTGmoderatorLU wrote:
Fri Feb 26, 2021 5:12 pm
Source: Manhattan Prep

A certain kind of necklace is made from 9 orange, 6 black, and 3 silver beads. What is the maximum number of these necklaces that can be made from 55 beads of each color?

A. 18
B. 9
C. 7
D. 6
E. 3

The OA is D
Solution:

Since it takes 9 orange beads to make one necklace and 55/9 = 6 R 1, 55 orange beads can make at most 6 necklaces.

Answer: D

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