3. mr. mendoza invested some of his p18,000.00 in bonds and made a 5% profit and the rest in bonds that made…

3. mr. mendoza invested some of his p18,000.00 in bonds and made a 5% profit and the rest in bonds that made a 12% profit. if the profit on the 12% bonds was p885.00 more than the profit on the 5% bonds, how much did mr. mendoza invest in the 5% bonds?

3. mr. mendoza invested some of his p18,000.00 in bonds and made a 5% profit and the rest in bonds that made a 12% profit. if the profit on the 12% bonds was p885.00 more than the profit on the 5% bonds, how much did mr. mendoza invest in the 5% bonds?

Answer

Explanation:

Step1: Define variables

Let (x) be the amount invested in (5%) bonds. Then the amount invested in (12%) bonds is (18000 - x). The profit from (5%) bonds is (0.05x), and the profit from (12%) bonds is (0.12(18000 - x)).

Step2: Set up the equation

Since the profit on the (12%) bonds was (885) more than the profit on the (5%) bonds, we have the equation: (0.12(18000 - x)=0.05x + 885)

Step3: Expand the left - hand side

Using the distributive property (a(b - c)=ab - ac), where (a = 0.12), (b = 18000), and (c=x), we get: (0.12\times18000-0.12x=0.05x + 885) (2160-0.12x=0.05x + 885)

Step4: Move the (x) terms to one side

Add (0.12x) to both sides: (2160=0.05x+0.12x + 885) (2160=0.17x + 885)

Step5: Isolate the (x) term

Subtract (885) from both sides: (2160 - 885=0.17x) (1275 = 0.17x)

Step6: Solve for (x)

Divide both sides by (0.17): (x=\frac{1275}{0.17}=7500)

Answer:

Mr. Mendoza invested (P7500.00) in the (5%) bonds.