Answer:
32 orange marbles.
Step-by-step explanation:
First set up the proportion given in the problem, since it states that there are three red marbles for every four orange marbles. The ratio between them is 3:4.
This means that you can multiply the given amount of red marbles by 4/3 to find the amount of orange marbles and the given amount of orange marbles by 3/4 to find the amount of red marbles. Because there are 3 red marbles for every 4 orange marbles.
You can divide 32 by 3 to find the factor which is 8 and multiply by 4 to get 32. Because 8 × 3 = 24,
and 8 × 4 = 32.
It can also be thought of as fractions because the proportion is a factor which means that you can multiply and divide to get to a certain value.
So:
3/4 = 24/O
Red marbles / orange marbles = red marbles / orange marbles.
(cross multiply ; numerator times denominator, and denominator times numerator; numerator is the top number, and the denominator is bottom number of a fraction).
3O = 96
÷3 ÷3
O [orange marbles] = 32
