Farina wrote:
Ted inherited $5700 last year and invested part of it at a 10% annual return and the other part at a 5% annual return. If Ted earned $428 with the first investment, what was his total income for the year?
Weak question.
Presumably, the "first investment" refers to the one with the 10% annual return.
If Ted earned $428, then he must have invested $4280, since 10% of $4280 =
$428$5700 - $4280 = $1420
So, the remaining $1420 was invested in the other option (with a 5% annual return)
5% of $1420 =
$71What was his total income for the year?So, inheritance + profit = income?
If so, the income = $5700 +
$428 +
$71 = $6199
Does match the "official" answer....ugh
Assumptions: 1 year passed from the initial investment. I'm assuming this, since we're not told this. For example, "Ted inherited $5700 last year" could mean the inheritance arrived on December 29th, 2019.
"What was his total income for the year?" For what year? 2019? The year since the investment was made?