A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?

Mathgenius
Sep 2, 2018

#1**+2 **

We can have the ball equal \(b\). With this, we can set up an equation that says \(2b + 1 = 1.1\). Therefore, \(b = 0.05\). This means that the ball is \(5\) cents.

- Daisy

dierdurst
Sep 2, 2018

#2**+2 **

Thanks Daisy,

Here is just a little more explanation ... I am doing it the long way but it might be easier to understand ... maybe

A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?

I am going to change the bat to a racket. So I have R and B

B+100 = R all in cents, I can rearrange this to

B-R = -100 (1)

I also know that

B+R = 110 (2)

Now solve simultaneously - add

2B+0 = 10

Ball = 5c

Melody
Sep 2, 2018