Final answer:
To determine the number of yellow marbles, the ratio of red to yellow marbles and the total number of marbles are used to find the common multiplier. Solving for this multiplier and then applying it to the number of yellow marbles gives us a total of 688 yellow marbles.
Step-by-step explanation:
The question asks to find out how many yellow marbles are there in a bag if the ratio of red to yellow marbles is 3 to 8 and there is a total of 946 marbles. To solve this, we set up a ratio equation with two unknowns representing the number of red marbles (3x) and the number of yellow marbles (8x). Because the total number of marbles is 946, our equation is 3x + 8x = 946, where x is the common multiplier for the ratio. Solving for x gives us 11x = 946, meaning x = 946 / 11 = 86. Therefore, the number of yellow marbles is 8x, which equals 8 * 86 = 688 yellow marbles.