Question

On saturday, you bowl at mar vista bowl, where renting shoes costs $2 and each game bowled is $3.50. on sunday, you bowl at pinz where the shoe rental is $5 and each game bowled is $3.25. if you spent the same amount each day, how many games, g, were bowled?

Answer 1

Given, at Mar Vista bowl the cost of renting shoes = $2.

The cost for each game bowled = $3.50

There are g games given. So the cost for g games bowled = $
`(3.50)(g)` = $
`(3.50g)`

The total amount soent at Mar Vista Bowl = $
`(2+3.50g)`

At Pinz, the cost for shoe rental = $5.

The cost for each game bowled = $3.25.

So the cost for g game bowled = $
`(3.25)(g)` = $
`(3.25g)`

Total amount spent at Pinz = $
`(5+3.25g)`

Given, the amount spent ateach of the places is same.

so we can write the equation as,

`2+3.50g = 5+3.25g`

We will move 3.25 to the left side by subtracting it from both sides. we will get,

`2+3.50g-3.25g = 5+3.25g-3.25g`

`2+0.25g = 5`

Now we will move 2 to the right side by subtracting 2 from both sides. We will get,

`2+0.25g-2 = 5-2`

`0.25g = 3`

Now to get g we will divide 0.25 to both sides. We will get,

`(0.25g)/(0.25)= (3)/(0.25)`

`g =(3)/(0.25)`

`g = 12`

So we have got the required answer.

The number of games bowled = 12.