How do you set this problem up to solve and how do you solve this?
Ellen has four types of marbles, 120 marbles of each type. She trades two-fifths of the first type, three-eights of the second type, five-sixths of the third type, and three-quarters of the fourth type. Of the original 480 marbles, how many does Ellen trade?
2/5 * 120 = 240/5 = 48
3/8 * 120 = 360/8 = 45
Do the same for the other two types. Then add the answers together.
Thank you!
To set up and solve this problem, we need to calculate the number of marbles Ellen trades based on the given information.
Step 1: Calculate the number of marbles in each type
Since Ellen has 120 marbles of each type and she has four types of marbles, the total number of marbles she has is 120 * 4 = 480 marbles.
Step 2: Calculate how many marbles Ellen trades for each type
To find out how many marbles Ellen trades for each type, we need to apply the given fractions:
- Two-fifths of the first type: (2/5) * 120 = 48 marbles
- Three-eighths of the second type: (3/8) * 120 = 45 marbles
- Five-sixths of the third type: (5/6) * 120 = 100 marbles
- Three-quarters of the fourth type: (3/4) * 120 = 90 marbles
Step 3: Calculate the total number of marbles traded
To find the total number of marbles Ellen trades, we add up the individual amounts she trades for each type:
48 + 45 + 100 + 90 = 283 marbles
Therefore, Ellen trades a total of 283 marbles out of the original 480.