Question

12) Mrs. Benton is making food baskets for the homeless. There are 60 cans of beans and 48 cans of tuna available to be divided equally among the baskets. What is the greatest number of baskets that Mrs. Benton can make

Answer 1

Maximum no. of baskets which Mrs. Benton can make is , 12.

Explanation:

According to the question, the greatest number of basket Mrs. Benton can make is, GCD (Greatest Common Divisor) of 60 and 48.

Now,

60 =
`2 * 2 * 3 * 5`

and . 48 =
`2 * 2 * * 2 * \2 * 3`

So, the GCD of 60 and 48 is,

`2 * 2 * 3` = 12

So, each basket will have,

`\frac {60}{12}` = 5 cans of beans and

`\frac {48}{12}` = 4 cans of tuna