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
Algebra.Com
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)
RELATED QUESTIONS
A delivery truck driver completes 3/5 of her assigned route from 8 o clock in the morning (answered by stanbon)
The total capacity of the pool is 1000 cubic meters. the filling of the pool started on... (answered by ankor@dixie-net.com)
The clock in the bell tower at Webster College chimes every hour on the hour: once at 1... (answered by Theo)
a clock strikes once at 1 o' clock, twice at 2 o' clock, three times at 3 o' clock, and... (answered by stanbon)
a clock strikes once at 1 o' clock, twice at 2 o' clock, three times at 3 o' clock, and... (answered by Edwin McCravy)
It takes 5 seconds for a clock to strike 5’O clock beginning at 5 O’ clock precisely. If... (answered by josmiceli)
The hour hand of a clock is 77.0 mm long. How far does the tip of the hand travel between (answered by ikleyn)
Please help me solve this word problem:
A drug store parking lot has space for 1000... (answered by ankor@dixie-net.com)
Molly receives a $25 dollar gift card to her favorite movie theater. It costs $6.50 for... (answered by macston)