Question

A penguin ski club is preparing identical lunch boxes for new skiers. They have 60 corn on the cobs and 48 fish sticks. They make lunch boxes by distributing all the corn & fish sticks amongst themselves; there is an equal number of corn on the cobs in each box and an equal number of fish sticks in each box. If they want the largest number of boxes possible, how many corn on the cobs and fish sticks would be in each lunch box repectively?

• A. 12
• B. 5 and 4
• C. 4 and 5
• D. 60 and 48

Answer 1

The correct option is B 5 and 4

60 corn cobs and 48 fish sticks is distributed equally among all lunch boxes such that number of lunch boxes is maximum
GCD (48, 60) = Number of maximum lunch boxes
$60=2\times 2\times 3\times 5$
$48=2\times 2\times 2\times 2\times 3$
GCD = $2\times 2\times 3=12$
Number of corn cobs in each box: $60÷12=5$
Number of fish sticks in each box: $48÷12=4$