<h3>A person invests a quantity of money in a product, obtaining a 5% profit. For another investment in a second product, he gets a profit of 3.5%. Knowing that in total he invested $10,000 and that the benefits of the first investment are $330 in excess of those of the second, how much money did you invest in each product?</h3>
Answer: first product = $8,000 , second product= $2,000✔️
Let A and B be the amounts invested in each product.
<h3>A + B = $10,000 } (I) </h3><h3>A·5/100 = B·3.5/100 + $330 } (II) </h3>
(5A - 3.5B)/100 = $330
5A - 3.5B = 100·$330
From (I) we have: A = $10,000 - B } (I)
5($10,000 - B) - 3.5B = $33,000
$50,000 - 5B -3.5B = $33,000
$50,000 - $33,000 = 5B + 3.5B
$17,000 = 8.5B
B = $17,000/8.5 = $2,000 , Investment second product
A = $10,000 - B } (I)
A = $10,000 - $2,000 = $8,000 , investment first product
Answer: first product = $8,000 , second product= $2,000✔️
<h3>Verify </h3>
Benefit first amount = $8,000 · 5/100 = $400
Benefit second amount = $2,000 · 3.5/100 = $70
Excess = $400 - $70 = $330✔️checked!
<h2><em>Spymore</em></h2>
