Question

Sofia's Shipping and Tori's Mail Services both ship packages. Sofia's trucks carry loads of 12 packages, while Tori's trucks carry loads of 10 packages. If both businesses ended up shipping the same number of packages this morning, what is the minimum number of packages each must have shipped?

A) 12 packages each
B) 24 packages each
C) 60 packages each
D) 120 packages each
E) 240 packages each

Answer 1

The minimum number of packages each business must have shipped is C)60 packages.

Step-by-step explanation:

In order for both businesses to end up shipping the same number of packages, the number of packages each business ships must be a multiple of both 12 and 10. The minimum number of packages that satisfies this condition is the least common multiple of 12 and 10. The least common multiple of 12 and 10 is 60.

Therefore, the minimum number of packages each must have shipped is 60 packages.