SOLUTION: At 11 o'clock this morning, mel's parking lot was full. Mel noticed that the ratio of cars to trucks was 5:2. By 1 o'clock in the afternoon, 10 trucks had left the lot and 10 more
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Question 634233: At 11 o'clock this morning, mel's parking lot was full. Mel noticed that the ratio of cars to trucks was 5:2. By 1 o'clock in the afternoon, 10 trucks had left the lot and 10 more cars had parked in the lot. The ratio of cars to trucks was then 6:1. How many vehicles are Parked in mel's parking lot when the lot is full? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! At 11 o'clock this morning, mel's parking lot was full.
Mel noticed that the ratio of cars to trucks was 5:2.
By 1 o'clock in the afternoon, 10 trucks had left the lot and 10 more cars
had parked in the lot.
The ratio of cars to trucks was then 6:1.
How many vehicles are Parked in mel's parking lot when the lot is full?
:
Let x = the multiplier
then when the parking lot was full:
5x = no. of cars
2x = no. of trucks
:
" By 1 o'clock in the afternoon, 10 trucks had left the lot and 10 more cars
had parked in the lot. The ratio of cars to trucks was then 6:1. " =
Cross multiply to find x
5x + 10 = 6(2x-10)
5x + 10 = 12x - 60
10 + 60 = 12x - 5x
70 = 7x
x = 10
therefore originally there were:
5(10) = 50 cars
2(10) = 20 trucks
(when the parking lot was full)
