Sondra wants to give away 940 pennies to her younger cousins. She wants to give the pennies to either 2,3,5,6,9, or 10 cousins. How many cousins can Sondra equally give the pennies to?
940 = 2^2 * 5 * 47
So the only choices are
2,5,10
The GCF of the number of swans and ducks at the pond is 9. There are 63swans and ducks in all. There are 27 more ducks than swans. How many of each bird is at the pond?
To find out how many cousins Sondra can equally give the 940 pennies to, we need to divide 940 by each of the given numbers (2, 3, 5, 6, 9, 10) and check if the remainder is zero.
Let's go through the divisions one by one:
1. 940 divided by 2:
Remainder = 940 % 2 = 0
Since the remainder is zero, Sondra can evenly give the pennies to 2 cousins.
2. 940 divided by 3:
Remainder = 940 % 3 = 2
Since the remainder is not zero, Sondra cannot evenly give the pennies to 3 cousins.
3. 940 divided by 5:
Remainder = 940 % 5 = 0
Since the remainder is zero, Sondra can evenly give the pennies to 5 cousins.
4. 940 divided by 6:
Remainder = 940 % 6 = 2
Since the remainder is not zero, Sondra cannot evenly give the pennies to 6 cousins.
5. 940 divided by 9:
Remainder = 940 % 9 = 4
Since the remainder is not zero, Sondra cannot evenly give the pennies to 9 cousins.
6. 940 divided by 10:
Remainder = 940 % 10 = 0
Since the remainder is zero, Sondra can evenly give the pennies to 10 cousins.
Based on these calculations, Sondra can equally give the 940 pennies to 2, 5, or 10 cousins.