Question

Mr. Jackson has 30 pennies and 42 dimes. He wants to put an equal number of pennies and dimes into each container. How many containers can he prepare?

a) 6
b) 10
c) 12
d) 14

Answer 1

Mr. Jackson can prepare 6 containers with an equal number of pennies and dimes.

Step-by-step explanation:

In order to find the number of containers Mr. Jackson can prepare, we need to find the greatest common divisor (GCD) of the number of pennies and dimes he has. In this case, Mr. Jackson has 30 pennies and 42 dimes. To find the GCD, we can list the divisors of both numbers and find the largest one they have in common:

Pennies: 1, 2, 3, 5, 6, 10, 15, 30

Dimes: 1, 2, 3, 6, 7, 14, 21, 42

The largest common divisor is 6. Therefore, Mr. Jackson can prepare 6 containers with an equal number of pennies and dimes.