Lucy has 80 bean plants, 64 tomato plants, and 16 pepper plants. She wants to put the plants in rows with only one type of plant in each row. All rows will have the same number of plants.
Find the greatest common factor(the highest number that is a factor of all three amounts of plants):
GCF = 8
There will be 8 plants in each row.
Bonus: How many rows will there be? First, divide each amount plants by the number of plants per row:
80 divide 8 = 10
64 divide 8 = 8
16 divide 8 = 2
Then add the quotients:
10+ 8+ 2 = 20
There will be 20 rows of plants: 10 of beans, 8 of tomatoes, and 2 of peppers.
Yessss daddyyy
To determine the maximum number of plants she can put in each row, we need to find the greatest common divisor (GCD) of the three numbers: 80, 64, and 16.
Step 1: Find the GCD of 80 and 64
80 = 64 * 1 + 16
64 = 16 * 4 + 0
The GCD of 80 and 64 is 16.
Step 2: Find the GCD of 16 (from step 1) and 16.
16 = 16 * 1 + 0
The GCD of 16 and 16 is 16.
Therefore, the maximum number of plants she can put in each row is 16.
To determine the number of rows Lucy can create with only one type of plant in each row, we need to find the greatest common divisor (GCD) of the three numbers: 80, 64, and 16.
Step 1: Find the GCD of 80 and 64.
- Prime factorization of 80: 2^4 * 5^1
- Prime factorization of 64: 2^6
- The common factors are 2^4, so the GCD of 80 and 64 is 2^4 = 16.
Step 2: Find the GCD of 16 and 16.
- The GCD of any number with itself is the number itself, so the GCD of 16 and 16 is 16.
Therefore, 16 is the greatest common divisor of 80, 64, and 16. This means Lucy can create rows of 16 plants each.