Mason is purchasing wooden blocks to build a birdhouse. Each block costs $1.80, and Mason wants to spend less than $36. Which inequality represents all the possible number of blocks, n, that Mason can buy to stay within his budget?

Responses
A n > 20n
B n < 20n
C n ≥ 20n
D n ≤ 20

1 answer

To find the inequality that represents all the possible number of blocks, $ n $, that Mason can buy to stay within his budget, we start with the cost of each block and the budget.

Each block costs $1.80, and Mason wants to spend less than $36. Therefore, we can set up the inequality as follows:

\[ 1.80n < 36 \]

Now, to isolate $ n $, we divide both sides of the inequality by 1.80:

\[ n < \frac{36}{1.80} \]

Calculating $ \frac{36}{1.80} $:

\[ \frac{36}{1.80} = 20 \]

Now, we have:

\[ n < 20 \]

Thus, the correct inequality that represents all the possible number of blocks, $ n $, that Mason can buy to stay within his budget is:

B $ n < 20 $