Answer:
The number of bikes she sell is 5 that is the option a .
Step-by-step explanation:
Given:
Taylor sells bikes for $120 and pens $80.
She sold 12 items and made $1,160.
Now, to find the bikes she sell.
Let the number of bikes be [tex]x.[/tex]
And the number of pens be [tex]y.[/tex]
So, the total number of items:
[tex]x+y=12.[/tex]
[tex]x=12-y.[/tex].......(1)
Now, the total money made by selling the bikes and pens:
[tex]120x+80y=1160.[/tex]
[tex]120(12-y)+80y=1160.[/tex]
[tex]1440-120y+80y=1160.[/tex]
[tex]1440-40y=1160.[/tex]
Adding both sides by 40y we get:
[tex]1440=1160+40y.[/tex]
Subtracting both sides by 1160 we get:
[tex]280=40y.[/tex]
Dividing both sides by 40 we get:
[tex]7=y.[/tex]
[tex]y=7.[/tex]
Now, putting the value of [tex]y[/tex] in equation (1) we get:
[tex]x=12-7[/tex]
[tex]x=5.[/tex]
Therefore, the number of bikes she sell is 5 that is the option a .
