Question
Joey has eight marbles more than Ben but 14 less than Jason. The three boys have 87 marbles all together. How many marbles does Ben have
Answers
GPT 3.5
Let's set up equations for each boy:
Let B represent the number of marbles Ben has.
Joey has 8 more than Ben: J = B + 8
Jason has 14 more than Joey: L = J + 14
We also know that the total number of marbles is 87:
B + J + L = 87
Substitute the expressions for Joey and Jason's marbles in terms of Ben's marbles into the total equation:
B + (B + 8) + (B + 8 + 14) = 87
B + B + 8 + B + 22 = 87
3B + 30 = 87
3B = 57
B = 19
Therefore, Ben has 19 marbles.
Let B represent the number of marbles Ben has.
Joey has 8 more than Ben: J = B + 8
Jason has 14 more than Joey: L = J + 14
We also know that the total number of marbles is 87:
B + J + L = 87
Substitute the expressions for Joey and Jason's marbles in terms of Ben's marbles into the total equation:
B + (B + 8) + (B + 8 + 14) = 87
B + B + 8 + B + 22 = 87
3B + 30 = 87
3B = 57
B = 19
Therefore, Ben has 19 marbles.