For every 2 bricks, 5 paving stones were used to build a backyard patio. james used a total of 120 bricks to complete his patio. of the paving stones be used, 46% were tan in color while the rest were gray. how many gray paving stones were used to build the patio?

162

... (total paving stones) / bricks = 5 / 2

Multiplying by bricks gives ...

... (total paving stones) = (5/2)·bricks = 5/2·120 = 300

Then the number of gray paving stones is ...

... (gray stones) = (total paving stones) - (tan stones) . . . . tan + gray = total

... = (total paving stones) - 46% · (total paving stones) . . . . tan is 46% of total

... = (100% - 46%)·(total paving stones) = 54% · (total paving stones)

... = 54/100 · 300 . . . . put in the total number of paving stones

... (gray stones) = 162