In 2004, 2,400 condos sold, 15% of the total housing units sold that

It's B
Total no of condos sold is 16000.2400/0.15=16000
So 16000-2400=13600 is answer.
Please give me kudos. I need them badly to increase my score

condos = 15% of total
so not condos = 85% of total

Now, 15% of total = 2400
85% of total = (?)
i.e. 2400 x 85 / 15
= 13600 (b)

Let´s use the "backbone" of our method: connect DATA to FOCUS as soon and as clearly as possible:

\({\text{DATA}}:\,\,\,\,\,2,400\,\,{\text{condos}}\,\,\,\mathop = \limits^{\left( * \right)} \,\,\,\frac{{15}}{{100}}\,\,\left( {{\text{total}}} \right)\)

\({\text{FOCUS}}:\,\,\,? = \frac{{85}}{{100}}\left( {{\text{total}}} \right)\)

\(? = \boxed{\frac{{85}}{{15}}} \cdot \underbrace {\frac{{15}}{{100}}\,\,\left( {{\text{total}}} \right)}_{\left( * \right)\,\,\,2400}\,\, = \,\,\,\frac{{17}}{3}\left( {2400} \right) = \underleftrightarrow {100 \cdot \left( {\frac{{17 \cdot 24}}{3}} \right)}\,\, = \,\,13600\)


This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.

We can create the following equation in which n = the total number of housing units sold in 2004:

2,400 = 0.15n

2,400/0.15 = n

16,000 = n

Thus, the number of housing units sold that were not condos was 16,000 - 2,400 = 13,600.

Alternate Solution:

We can set up a ratio: if 15% is 2,400, then 85% is x, as follows:

0.15/2400 = 0.85/x

0.15x = 2400 * 0.85

x = (2400 * 0.85)/0.15

x = 13,600

Answer: 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

Sorry but how is this 600-700 difficulty ? or is the diffculty level not accurate
I'm new here so i don't know how enerything works

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