4. jasmine grace invested some of her p20,000.00 in bonds that made an 8% profit and the rest in bonds that…

4. jasmine grace invested some of her p20,000.00 in bonds that made an 8% profit and the rest in bonds that made a 7% profit. if the profit on the 8% bonds was p700.00 more than the profit on the 7% bonds, how much did jasmine grace invest in the 7% bonds?\n\n5. mr. tinao has p36,000.00 to invest, some in bonds and the rest in stocks. he has decided that the money invested in bonds must be at least twice as much as that in stocks. but the money invested in bonds must be greater than p20,000.00. if the bonds earn 5% and the stocks earn 7%, how much money should he invest in each to maximize profit?
Answer
Explanation:
Step1: Let the amount invested in 7% bonds be $x$.
Then the amount invested in 8% bonds is $20000 - x$.
Step2: Calculate the profit from each bond.
The profit from 8% bonds is $0.08(20000 - x)$, and the profit from 7% bonds is $0.07x$.
Step3: Set up the equation based on the profit - relationship.
$0.08(20000 - x)=0.07x + 700$.
Step4: Expand the left - hand side of the equation.
$1600-0.08x = 0.07x+700$.
Step5: Move the $x$ terms to one side and constants to the other side.
$1600 - 700=0.07x + 0.08x$.
Step6: Combine like terms.
$900 = 0.15x$.
Step7: Solve for $x$.
$x=\frac{900}{0.15}=6000$.
Answer:
$6000$