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Three times one number equals one-fourth of another number.

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8. Three times one number equals one-fourth of another number. If the sum of four times the first number and twelve equals three times the second number, then what are the two numbers?

11. Mrs. Montero invested $10,000, part at 9% and the remainder at 10% per year. If at the end of 5 years the two investments had earned $4,800 in simple interest, what amount was invested at 9%?

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Solution Summary

The solution provides explanations on the concept of simple interest and then step-by-step calculations.

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8. Let call the first number a and the second number b. We have:
3a=b/4 or b=12a
4a+12=3b

Substitute b=12a into the second equation:
4a+12=36a
Hence 32a=12 or a=12/32=3/8
So ...

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