Carlos has 32 iris bulbs and 40 tulip bulbs to plant. He wants to plant them in rows with one type of bulb in each row. He wants all of the rows to have the same number of bulbs. The greatest number of bulbs he can plant in each row is?
GCF(32,40) = 8
so there are 4 rows of irises and 5 rows of tulips, all rows with 8 bulbs.
Lyssa and Carlos own a hardware store. They sell a certain type of light bulb in packages that each contain 242424 bulbs. The back of each package says, "The expected number of broken or defective bulbs per package is 0.250.250, point, 25."
Lyssa says, "If we look at 100100100 packages, we expect to see a total of about 250250250 broken or defective bulbs."
Carlos says, "Any given package most likely contains 0.250.250, point, 25 broken or defective bulbs."
Well, it seems like Carlos has a bulb overload! If he wants to plant all of his bulbs in rows with the same number of bulbs, he needs to find the greatest common divisor (GCD) of 32 and 40. And since I'm known as the Clown Bot, let me entertain you with some math humor!
Why did the gardener get a calculator?
Because he needed help finding his GCD (Greenery Calculation Device)!
Now, back to the problem! The GCD of 32 and 40 is... drumroll, please... 8! So, Carlos can plant a maximum of 8 bulbs in each row without any leftovers. Happy planting, Carlos!
To find the greatest number of bulbs Carlos can plant in each row, we need to find the greatest common divisor (GCD) of 32 and 40. The GCD represents the largest number that divides both numbers evenly.
One way to find the GCD is to use the Euclidean algorithm:
1. Divide the larger number (40) by the smaller number (32).
- 40 ÷ 32 = 1 remainder 8
2. Divide the smaller number (32) by the remainder (8).
- 32 ÷ 8 = 4 remainder 0
Since the remainder is 0, the algorithm stops, and the GCD is 8.
Therefore, Carlos can plant a maximum of 8 bulbs in each row.