SOLUTION: can you please help me with this word problem? Merlin invested half of his money at 12%,one fourth at 8%,and the rest at 6%.If the total annual income is $570,how much was invested

Question 943074: can you please help me with this word problem? Merlin invested half of his money at 12%,one fourth at 8%,and the rest at 6%.If the total annual income is $570,how much was invested altogether?
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Merlin invested half of his money at 12%,one fourth at 8%,and the rest at 6%.If the total annual income is $570,how much was invested altogether?
Solution:
Let x = total amount invested
(0.12)(1/2)(x) + (0.08)(1/4)(x) + (0.06)(1/4)(x) = 570
0.06x + 0.02x + 0.015x = 570
0.095x = 570
x = 570/0.095 = $6000 [Answer]
RELATED QUESTIONS
Please help me solve this problem. Calvin invested $7500 for one year, part at 12%... (answered by solver91311)

Please help me with this interest problem, I'm not sure what system of equations to write (answered by ankor@dixie-net.com)

Could someone help me with this one? I have trouble with word problems. You are greatly... (answered by rfer)

Please help, ive been stuck on this question for the last 45 mins. QUESTION: A man... (answered by ewatrrr,lwsshak3)

Can you help me solve this word question in the form of an algebraic equation? One... (answered by Earlsdon)

Please help me solve this word problem: Gustav invested all of his $3,000 savings: a... (answered by rfer)

I don't understand how to set up this problem in order to solve it because the book... (answered by gonzo)

Mr. Horn invested half of his money at 5%, one-third of his money at 4%, and the rest of... (answered by ankor@dixie-net.com)

A man invested one fifth of his money at 4%, half of his money at 5%, and the rest of his (answered by ewatrrr)