AAPL wrote: ↑Fri Feb 12, 2021 3:02 am
Magoosh
In 2004, 2,400 condos sold, 15% of the total housing units sold that year. How many units sold in 2004 were not condos?
A. 16,000
B. 13,600
C. 12,400
D. 11,200
E. 8,600
OA
B
We can solve the question with
equivalent ratios
If 15% of the units sold WERE condos, then 85% of the units sold new NOT condos.
So we want to determine the number of sold units that represent 85% of all units sold
We'll use the ratio: (
number of units sold)/(
percent of units sold)
Let x = the number of NON-CONDO units sold that represent 85% of all units sold
We get: (
2400)/(
15) = (
x)/(
85)
Cross multiply to get: (15)(x) = (2400)(85)
Divide both sides by 15 to get: x = (2400)(85)/(15)
Evaluate: 13,600
Answer: B
------------------
We can also solve this with a little
number sense
If 15% of the units sold WERE condos, then
85% of the units sold new NOT condos.
GIVEN: 2,400 represents 15% of the total housing units sold that year
So, 4,800 must represent 30% of the total housing units sold that year
And 9,600 must represent 60% of the total housing units sold that year
And
14,400 must represent
90% of the total housing units sold that year
Oops, we went too far. We need to subtract 5% worth of housing units to get down to the desired
85%
If 2,400 represents 15% of the total housing units sold that year. . .
Then
800 must represent 5% of the total housing units sold that year
So,
85% of the housing units sold =
14,400 -
800 =
13,600
Answer: B
Cheers,
Brent
