Tori buys 772 marbles to split equally among 8 of her friends. How many marbles did each friend receive?
How many marbles did Tori have left over?
If everyone wants to have 105 marbles, how many more marbles will Tori need to buy?
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To answer the first question, we need to divide the total number of marbles (772) by the number of friends (8). By performing this calculation, we can determine how many marbles each friend received.
772 marbles รท 8 friends = 96.5 marbles per friend
Since we cannot have a fraction of a marble, we have to account for the remaining marbles.
To find the answer to the second question - how many marbles Tori had left over - we need to calculate the remainder when dividing the total number of marbles (772) by the number of friends (8). The remainder will represent the number of marbles left over.
772 marbles mod 8 friends = 4 marbles left over
Therefore, each of Tori's friends received 96 marbles, and Tori had 4 marbles left over.
To answer the third question - how many more marbles Tori will need to buy if everyone wants to have 105 marbles - we need to calculate the difference between the desired number of marbles per friend (105) and the number of marbles each friend received (96).
Desired number of marbles per friend (105) - Number of marbles each friend received (96) = 9 additional marbles per friend
Since Tori has 8 friends, we can multiply the additional marbles per friend by the number of friends to find the total number of additional marbles Tori needs to buy.
9 additional marbles per friend x 8 friends = 72 additional marbles
In conclusion, if everyone wants to have 105 marbles, Tori will need to buy 72 more marbles.
772/8 = 96.5
each got 96 and 4 were left over
105 * 8 = 840
840 - 772 = 68