Veronica needs to hire carpenters and masons to renovate her house. She needs 9 laborers to finish the work, and has saved $2150 to pay for the laborers. Carpenters charge $250 and masons charge $225 for a day's work. How many carpenters and masons can she hire?

A 5 carpenters and 3 masons

B 5 carpenters and 4 masons

C 4 carpenters and 5 masons

D 3 carpenters and 6 masons

B. 5 carpenters and 4 masons. Is $2,150

Step-by-step explanation:

250 • 5 = 1,250

225 • 4 = 900

1,250 + 900 = 2,150

$2,150

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: