Question

Taylor sells bikes for $120 and pens $80. She sold 12 items and made $1,160. How many bikes did she sell?

Select one: a. 5
b. 2
c. 7
d. 10

Answer 1

8 bikes

Explanation:

Answer 2

The number of bikes she sell is 5 that is the option a .

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
`x.`

And the number of pens be
`y.`

So, the total number of items:

`x+y=12.`

`x=12-y.`.......(1)

Now, the total money made by selling the bikes and pens:

`120x+80y=1160.`

`120(12-y)+80y=1160.`

`1440-120y+80y=1160.`

`1440-40y=1160.`

Adding both sides by 40y we get:

`1440=1160+40y.`

Subtracting both sides by 1160 we get:

`280=40y.`

Dividing both sides by 40 we get:

`7=y.`

`y=7.`

Now, putting the value of
`y` in equation (1) we get:

`x=12-7`

`x=5.`

Therefore, the number of bikes she sell is 5 that is the option a .