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

$1946

Explanation:

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

Therefore, his total earning in the first four months

= 4 X $1,450.25

=$5,801

Let the average income for the remaining 8 months= x

Then:

`\text{Eric's Yearly Average Income}=(5801+8x)/(12) \\1,780.75=(5801+8x)/(12) \\$Cross multiply\\12*1,780.75=5801+8x\\21369=5801+8x\\8x=21369-5801\\8x=15568\\Divide both sides by 8\\x=\$1946`

Therefore, to get an average income for the year of $1,780.75, Eric must earn an average income of $1946 for the remaining 8 months.