Question

Salena had some hats and bought 15 more. After sold one third of the hats, she now has

30 hats. With how many did she begin?

Answer 1

Selena began with 45 hats.

Let X be the number of hats Salena had originally.

After Salena bought 15 more hats, she had X + 15 hats.

After Salena sold one-third of the hats, she was left with (X + 15) - (1/3)X = 30 hats.

Solving for X gives:

X = 45 hats

Salena had originally 45 hats.

Answer 2

To solve this problem, we need to use the information given to set up and solve a system of equations.

First, let's define a variable to represent the number of hats that Salena had originally. Let's call this number "h".

Next, we can set up the first equation based on the information that Salena bought 15 more hats:

h + 15 = 30

Next, we can set up the second equation based on the information that Salena sold one third of the hats:

h / 3 = 30

Finally, we can solve the system of equations by substituting the second equation into the first equation and solving for h:

h + 15 = 30

(h / 3) + 15 = 30

h + (h / 3) + 15 = 30

4h / 3 + 15 = 30

4h + 45 = 90

4h = 45

h = 45 / 4

h = 11.25

Therefore, Salena had 11.25 hats originally.

Step-by-step explanation: