SOLUTION: Hi im hoping to find the answer or what method should be used to solve these two word problems. Thank you ! Question 1 Two buses leave towns 610 km apart at the same time and

Algebra ->  Graphs -> SOLUTION: Hi im hoping to find the answer or what method should be used to solve these two word problems. Thank you ! Question 1 Two buses leave towns 610 km apart at the same time and       Log On


   

Question 1148947: Hi im hoping to find the answer or what method should be used to solve these two word problems. Thank you !

Question 1 Two buses leave towns 610 km apart at the same time and travel toward each other. One bus travels 5 km per hour faster than the other. If they meet in 4 hours, what is the rate of each bus? (Label which speed is for which bus in your answer.)


Question 2, Last year, Marcus had $15,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account that paid 5% simple interest per year. After one year, he received a total of $1005 in interest. How much did he invest in each account? (In your answer, label which amount is for which account.)

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Question 1:

%28r%2B%28r%2B5%29%29%2A4=610
4%28r%2Br%2B5%29=610
4%282r%2B5%29=610
2%282r%2B5%29=305
4r%2B10=305
4r=295
r=73%263%2F4
.
.


Question 2:

x at 7%
15000-x at 5%
0.07x%2B0.05%2815000-x%29=1005
0.07x%2B750-0.05x=1005
0.02x=1005-750
0.02x=255
x=12750
.
.