There are 42 new houses being built in a neighborhood. Last month, 2/3 of them were sold. This month, 3/7 of the remaining houses were sold. How many houses are left to be sold?
+5478 So you start off with 42 houses.
Subtract ((2/3) * 42) first:
$${\mathtt{42}}{\mathtt{\,-\,}}\left({\frac{{\mathtt{2}}}{{\mathtt{3}}}}{\mathtt{\,\times\,}}{\mathtt{42}}\right) = {\mathtt{14}}$$
Now subtract ((3/7) * 14):
$${\mathtt{14}}{\mathtt{\,-\,}}\left({\frac{{\mathtt{3}}}{{\mathtt{7}}}}\right){\mathtt{\,\times\,}}\left({\mathtt{14}}\right) = {\mathtt{8}}$$
Final answer: 8 houses:)
+5478 So you start off with 42 houses.
Subtract ((2/3) * 42) first:
$${\mathtt{42}}{\mathtt{\,-\,}}\left({\frac{{\mathtt{2}}}{{\mathtt{3}}}}{\mathtt{\,\times\,}}{\mathtt{42}}\right) = {\mathtt{14}}$$
Now subtract ((3/7) * 14):
$${\mathtt{14}}{\mathtt{\,-\,}}\left({\frac{{\mathtt{3}}}{{\mathtt{7}}}}\right){\mathtt{\,\times\,}}\left({\mathtt{14}}\right) = {\mathtt{8}}$$
Final answer: 8 houses:)
