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1. The ratio of diamonds to stars was 3 to 11, and three times the number of diamonds was 2 less than the number of stars. How many were diamonds? ​
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3 votes
1. The ratio of diamonds to stars was 3 to 11, and three times the number of diamonds was 2 less than the number of stars. How many were diamonds?

​

User Clemzd
by
4.3k points

1 Answer

3 votes

Answer:

There were 3 diamonds.

Explanation:


(Diamonds(D))/(Stars(S))=(3)/(11)

Therefore,
11D=3S


S=3D+2

Therefore,


(11D)/(3)=3D+2


11D=9D+6


2D=6


D=3

User Mickey Shine
by
3.9k points
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