Question

A cafe has three different COLOURs of plates in the ratio grey: white : black = 3 : 8 : 5

The cafe has 304 plates together. Work out how many grey plates the cafe has.

Answer 1

57 grey plates

Explanation:

304 = 3 : 8 : 5

304 = 16x

`( \\ 304)/(16) = (16x)/(16)`

x = 19

by solving systematically for the grey plate

3 × 19 = 57 grey plates.

Additional solvings.

by solving systematically for the white plates

8 × 19 = 152 white plates

by solving systematically for the black plates

5 × 19 = 95 black plates

Total plates

57 + 152 + 95 = 304

I hope this helped