when comparing the buying power of a salary offer of $50,000 in boston with a $53,000 offer in los angeles…

when comparing the buying power of a salary offer of $50,000 in boston with a $53,000 offer in los angeles, the los angeles salary offer could buy what amount of goods and services in boston assuming the index was 328.6 for boston and 313.7 for los angeles? $46,628 $55,517 $59,945 $43,989

when comparing the buying power of a salary offer of $50,000 in boston with a $53,000 offer in los angeles, the los angeles salary offer could buy what amount of goods and services in boston assuming the index was 328.6 for boston and 313.7 for los angeles? $46,628 $55,517 $59,945 $43,989

Answer

Explanation:

Step1: Set up the proportion formula

Let $x$ be the amount in Boston. The formula is $x=\frac{\text{Los Angeles salary}\times\text{Boston index}}{\text{Los Angeles index}}$.

Step2: Substitute the values

We have $\text{Los Angeles salary} = 53000$, $\text{Boston index}=328.6$, $\text{Los Angeles index}=313.7$. So $x=\frac{53000\times328.6}{313.7}$.

Step3: Calculate the value

First, calculate $53000\times328.6 = 53000\times(300 + 20+8 + 0.6)=53000\times300+53000\times20 + 53000\times8+53000\times0.6=15900000+1060000+424000 + 31800=17415800$. Then, $\frac{17415800}{313.7}= 55517.37$. Rounding to the nearest dollar gives $x = 55517$.

Answer:

$55,517$