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?
​

Answer 1

Answer:

There were 3 diamonds.

Step-by-step explanation:

$\frac{Diamonds(D)}{Stars(S)}=\frac{3}{11}$

Therefore, $11D=3S$

$S=3D+2$

Therefore,

$\frac{11D}{3}=3D+2$

$11D=9D+6$

$2D=6$

$D=3$