Question

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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Answer 1

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`