Mrs. Cobb has 8 petunias, 16 carnations, and 20 pansies to plant in flowerpots. If she plants the same number of each type of flower in the flowerpots, how many flowerpots will she use? How many of each type of flower will be in each flowerpot? *

Respuesta :

She will use 4 flower pots with 2 petunias, 4 Carnations, and 5 pansies. 


8            
1*8     
2*4
4*2
8*1

16
1*16
2*8
4*4
8*2
16*1

20
1*20
2*10
4*5
5*4
10*2
20*1

Answer: There are 4 flowerpots in which there will be 2 petunias , 4 carnations, 5 pansies.

Step-by-step explanation:

Since we have given that

Number of petunias = 8

Number of carnations = 16

Number of pansies = 20

We need to plants the same number of each type of flower in the flower pots.

so, Greatest number of flower = H.C.F of 8 , 16, 20 = 4

So, there are 4 flowerpots she will use .

Number of petunias in each flower pot = [tex]\dfrac{8}{4}=2[/tex]

Number of carnations in each flower pot = [tex]\dfrac{16}{4}=4[/tex]

Number of pansies in each flower pot = [tex]\dfrac{20}{4}=5[/tex]

Hence, there are 4 flowerpots in which there will be 2 petunias , 4 carnations, 5 pansies.