Question

Lilian is packing gifts for the needy. She has 240 toys and 180 books to pack. She wants all packages to have the same number of books and the same number of toys. What is the largest number of packages she can make?

a) 10
b) 12
c) 15
d) 20

Answer 1

The largest number of packages Lilian can make is 7, which is not one of the given options.

Step-by-step explanation:

To find the largest number of packages Lilian can make, we need to find the greatest common divisor (GCD) of the number of toys and the number of books. The GCD is the largest number that divides both numbers without leaving a remainder. In this case, the GCD of 240 and 180 is 60.

Therefore, Lilian can make the largest number of packages by dividing the total number of toys and books (420) by the GCD: 420 ÷ 60 = 7.

Therefore, the answer is 7 packages, which is not one of the given options. So, the correct answer is none of the options provided.