you work for a house - painting company and need to purchase 25 gallons of white paint. one store charges…

you work for a house - painting company and need to purchase 25 gallons of white paint. one store charges $44.99 per gallon (including tax). a second store usually charges $52.50 per gallon (including tax), but offers 10% off because you are making a bulk purchase. how much money will you save on the 25 - gallon purchase by choosing the less expensive option? $2.26 $7.51 $56.50 $168.98 $187.75

you work for a house - painting company and need to purchase 25 gallons of white paint. one store charges $44.99 per gallon (including tax). a second store usually charges $52.50 per gallon (including tax), but offers 10% off because you are making a bulk purchase. how much money will you save on the 25 - gallon purchase by choosing the less expensive option? $2.26 $7.51 $56.50 $168.98 $187.75

Answer

Explanation:

Step1: Calculate cost at first store

The first store charges $44.99 per gallon for 25 gallons. So the total cost $C_1$ is $C_1 = 44.99\times25=1124.75$.

Step2: Calculate cost at second store

The second - store's original price per gallon is $52.50. With a 10% discount, the price per gallon $p$ is $p = 52.50\times(1 - 0.1)=52.50\times0.9 = 47.25$. The total cost $C_2$ for 25 gallons is $C_2=47.25\times25 = 1181.25$.

Step3: Calculate savings

The savings $S$ is $S = C_2 - C_1$. So $S=1181.25 - 1124.75 = 56.50$.

Answer:

$56.50$