Question

Gloria decides to buy 4 ferns, 2 Palms, 10 Lilies and 8 shrubs. To show the total

Answer 1

Answer:

$Total Plants = 4F + 2P + 10L+ 8S$

$Total Plants = 2(2F + P + 5L+ 4S)$ --- Distributive property

Step-by-step explanation:

Given

Ferns = 4

Palms = 2

Lillies = 10

Shrubs = 8

Required

Show the total cost of plants as an expression

Shorten it using the distributive property

First, represent Ferns with F; Palms with P; Lilies with L and Shrubs with S;

So, 4 Ferns = 4F

2 Palms = 2P

10 Lilies = 10L

8 Shrubs = 8S

Total Plants = Summation of the above parameters

$Total Plants = 4F + 2P + 10L+ 8S$

The above expression represents the total plants bought;

Now, to apply the distributive property; we simply look for a common factor;

In this case, the common factor is 2;

So, $Total Plants = 4F + 2P + 10L+ 8S$ becomes

$Total Plants = 2(\frac{4F}{2} + \frac{2P}{2} + \frac{10L}{2}+ \frac{8S}{2})$

$Total Plants = 2(2F + P + 5L+ 4S)$