Question

Eric’s average income for the first 4 months of the year is $1,450.25, what must be his

average income for the remaining 8 months so that his average income for the year is

$1,780.75?​

Answer 1

Answer:
`\$1946`

Explanation:

Given

Eric average income for four months is
`S_1=\$1450.25`

average Annual income
`S=\$1780.75`

Average income
`=\frac{\text{Total salary}}{\text{Time }}`

Sum of 4 month salary
`=4* S_1`

Sum of 4 month salary
`=\$5801`

Average salary of remaining 8 months
`=S_2`

Sum of last 8 months salary
`=8* S_2`

So average Salary
`S=(4* S_1+8* S_2)/(12)`

`\Rightarrow 1780.75=(4* 1450.25+8* S_2)/(12)`

`\Rightarrow 21,369=5801+8* S_2`

`\Rightarrow 15,568=8* S_2`

`\Rightarrow S_2=(15,568)/(8)=\$1946`

So, average salary of remaining 8 months is
`\$1946`