Question

Christa buys 14 flowerpots. Some are small and cost $2.40 each. The rest are large and cost $5.60 each. She spends a total of $49.60.

Which equation models this situation?

Let s represent the number of small flowerpots she buys.


A.
5.6s + 2.4(s + 14) = 49.6

B.
(2.4 + 9.6)(14 – s) = 49.6

C.
2.4s + 5.6(14 – s) = 49.6

D.
5.6s + 2.8(14) = 49.6

Answer 1

If the total number of flowerpots is 14, then
small + large = 14
Ok?

Answer 2

i think it is D am i right

Answer 3

We'll get there soon. Just follow along what I am doing.

Answer 4

small pots + large pots = 14
Right?

Answer 5

ok

Answer 6

Now let's see how many large pots there are:
small pots + large pots = 14
They state that you should let s = number of small pots, so we have
s + large pots = 14
Subtract s from both sides:
large pots = 14 - s

Answer 7

ok

Answer 8

Now we know this:
large pots = 14 = s
small pots = s

Answer 9

ok

Answer 10

Now we use the prices.
If one small pot costs $2.40, how much do s small pots cots?

Answer 11

(Hint: multiply the number of pots by the price of one pot.)

Answer 12

so $2.40

Answer 13

2.40 * 1 is the price of 1 pot
2.40 * 2 = price of 2 pots
2.40 * 3 = price of 3 pots
2.40 * s = price of s pots
The price of s pots is: 2.40s

Answer 14

so the answer is C?

Answer 15

Now we find the price of the large pots.
One large pot costs $5.60
There are (s - 14) large pots, so the price of all the large pots is:
5.60(s - 14)

Answer 16

price of small pots + price of large pots = total price
2.4s + 5.6(s - 14) = 49.6
You are correct. This is choice C.

Answer 17

thanks

Answer 18

You're welcome.