Question

Melissa has four types of marbles, and 120 marbles of each type. She trades two-fifths of the first type, three-eighths 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 Melissa trade? seventh grade

Answer 1

Melissa trades a total of 283 marbles. She has 197 marbles remaining from her original 480. The calculations include fractions of each type of marble traded.

Step-by-step explanation:

Calculate the number of marbles Melissa trades by determining the fractions of each type.

1. The first type: two-fifths of 120 is 48 marbles.
2. The second type: three-eighths of 120 is 45 marbles.
3. The third type: five-sixths of 120 is 100 marbles.
4. The fourth type: three-quarters of 120 is 90 marbles.

To find the total number of marbles traded, add the number of each type traded: 48 + 45 + 100 + 90 equals 283 marbles.

Melissa originally had 480 marbles in total. After trading, she has 480 - 283 which equals 197 marbles remaining.