Question

You purchase 26 parking hours that you can use the next month to park your food truck at the fair. Weekday hours park $2 per hour and weekend hours cost $10 per hour. You spend a total of $220. How many week day hours did you purchase.

Answer 1

Number of week day hours purchased is 5

Explanation:

Total number of Parking hours purchased = 26 parking hours

Parking cost on weekdays = $2 per hour

Parking costs on weekends = $10 per hour

Total amount spent on parking = $220.

To Find:

Number of week days purchased = ?

Solution:

Let

The number of week days purchased be x

The number of weekends purchased be y

We know that the total hours purchased is 26

So,

x+y = 26

y = 26-x------------------------------------------------------(1)

Now the total cost is 220

(Total number of weekdays X cost per weekday ) +(Total number of weekends + cost per weekend) =220

Substituting the values

=>
`x* 2 + y * 10` = 220

=>
`x * 2 + (26-x) * 10 =220`

=>2x + 260 -10x =220

=>260 -8x = 220

=>260 -220 =8x

=>40 = 8x

=>x=
`(40)/(8)`

x= 5-------------------------------------------(2)

Now substituting (2) in (1) we get

y= 26-5

y= 21