does anyone know how to solve these?

Question

hello,

here are a few mathematics problems. does anyone know how to set these up properly?

$30,000, part of which is deposited at 9% interest and the rest is deposited at 7% interest. the income from the 7% deposit is $820 more than that from the 9% deposit. how much was invested at each rate?

2 investments total $25,000. one investment made an 18% profit, the other took an 11% loss. if the net profit for both investments totals $220, how much was each investment?

$5,000 deposited at 8% rate. how much more must be deposited at 10% to realize a net profit of 9%?

in advance, your assistance is appreciated.

thanks

? · Accepted Answer

Your question did not ask for the final answer, only the equations, so that is what I will give.
Also, I will ignore the length of time for each deposit as compound interest would change the equations.

1st problem
(X * 0.07) - ((30,000 - X) * 0.09) = 820

2nd problem could be 1 of 2 equations
(X * 0.18) - ((25,000 - X) * -0.11) = 220
(X * -0.11) - ((25,000 - X) * 0.18) = 220

3rd problem
(5,000 * 0.08) + (X * 0.10) = (5000 + X) * 0.09

? · Answer

–3(x – 3) + 8(x – 3) = x – 9 distribute -3x + 9 + 8x - 24 = x - 9 combine like words 5x - 15 = x - 9 subtract x for the two sides 4x - 15 = -9 upload 15 for the two sides 4x = 6 divide 4 for the two sides x = 3/2

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does anyone know how to solve these?

2 Answers