Final answer:
To calculate the number of green and white marbles in a bag with 112 marbles and a ratio of 2:5, divide 112 by the sum of the ratio parts (7) to find one part's value, then multiply by the ratio numbers to get 32 green and 80 white marbles.
Step-by-step explanation:
Calculating the Number of Green and White Marbles
The question concerns a bag that contains 112 marbles in total, with a ratio of green marbles to white marbles of 2:5. To find out how many green and white marbles there are, we need to divide the total number of marbles by the sum of the parts of the ratio.
First, we add the parts of the ratio together: 2 (for green) + 5 (for white) = 7 parts in total. The total number of marbles (112) is then divided by this number to find out the value of one part: 112 marbles ÷ 7 = 16 marbles.
Now we can find the number of green and white marbles by multiplying the value of one part by the number of parts for each color. For green marbles: 2 parts × 16 marbles/part = 32 green marbles. For white marbles: 5 parts × 16 marbles/part = 80 white marbles.