in a parking lot parking charges for 80 cars and 25 scooters is group is 925 and parking charges for 65 cars and scooters is rupees 7 find the parking charges for 5 cars and 7 scooters
Answers
The complete question is,
In a parking lot , parking charges for 80 cars and 25 scooters is Rs 925 and parking charges for 65 cars and 12 scooters is Rs710 . find the parking charges for 5 cars and 7 scooters.
Given:
In a parking lot , parking charges for 80 cars and 25 scooters is Rs 925 and parking charges for 65 cars and 12 scooters is Rs710 .
To find:
Find the parking charges for 5 cars and 7 scooters.
Solution:
From given, we have,
In a parking lot , parking charges for 80 cars and 25 scooters is Rs 925 and parking charges for 65 cars and 12 scooters is Rs710 .
Let the parking charge for a car be Rs. x and for a scooter be Rs. y
80x + 25y = 925
65x + 12y = 710
use the elimination method,
65[ 80x + 25y = 925]
= 5200 x + 1625 y = 60125
80 [ 65x +12y = 710]
= 5200 x + 960 y = 56800
subtract each of the above equations ,
1625y - 960 y = 60125 - 56800
665 y = 3325
y = 5
and x = 10
Therefore, the charge of 5 cars and 7 scooters = 5x + 7y = 50 + 35 = Rs. 85