Answer:
$17,500 was invested in the account that gained 10% and
$11,000 was invested in the account that lost 4%
Step-by-step explanation:
<u>Define the variables</u>:
- Let x be the money invested in the account that gained 10%.
- Let y be the money invested in the account that lost 4%.
<u>Given information:</u>
- $28,500 = total amount invested between the two accounts
- $1,310.00 = total amount gained
<u>Percentages in decimal form:</u>
Create a system of equations using the given information and defined variables:
<u>Rewrite</u> Equation 1 to make y the subject:
<u>Substitute</u> into Equation 2 and <u>solve for x</u>:
<u>Substitute</u> the found value of x into Equation 1 and <u>solve for y</u>:
<u>Conclusion</u>
$17,500 was invested in the account that gained 10% and
$11,000 was invested in the account that lost 4%
Learn more about systems of equations here:
brainly.com/question/27930827