Invests find the amount invested?

Sena Highman: a) let the amount invested at 5% be "a" so that invested at 4% will be "7500 - a"so: 0.05a + 0.04(7500 - a) = 346.500.05a + 300 - 0.04a = 346.50a=$ 4650 (amount invested at 5%b) thus amount invested at 4% = 7500 - 4650=$ 2850...Show more

Chris Rosenkranz: Let x be the amount that is invested at 4% , and y be the amount invested at 5%, then x+y=7500The amount of interest x will earn will be 1.04x-x=0.04xThe amount of interest y will be 1.05y-y=0.05yTherefore 0.04x+0.05y=346.50The two equations to solve are x+y=7500 and0.04x+0.05y=346.50We can multiply the first equation with 0.04 to yield0.04x+0.04y =3000.04x+0.05y=346.50Subtraction the second equation from the first yields that 0.01y=46.50, therefore y= 4650.x can be calculated from 7500-4650= 2850Therefore x=2850 and y=4650....Show more