There are 160 big marbles and 120 small marbles in a box. 3/4 of the big marbles are blue 2/5 of the small marbles are blue. What percentage of the marbles are blue?

Answer 1

First, we need to find out how many blue marbles there are in total.

For the big marbles:
3/4 of 160 big marbles = (3/4) * 160 = 120 blue big marbles

For the small marbles:
2/5 of 120 small marbles = (2/5) * 120 = 48 blue small marbles

Total number of blue marbles = 120 + 48 = 168

Total number of marbles = 160 + 120 = 280

Percentage of blue marbles = (168 / 280) * 100% = 60%

Therefore, 60% of the marbles in the box are blue.