Raymond B. answered • 09/29/21

Math, microeconomics or criminal justice

112/2000 = 0.056 = 5.6%

which is within 0.6 of 5 and 2.4 of 8

he invested 2.4/.6 = 4 times as much at 5% as at 8%

that's 80% at 5% and 20% at 8%

80% of $2,000 = $1600

20% at $2,000 = $400

or the way you probably want to solve this is:

.08(x) + .05(2000-x) = 112

.08x -.05x = 112 - 100

.03x = 12

x = 12/.03 = 400 at 8%

5%A + 8%B = 112

A+B = 2000

.05A + .08B = 112

A + B = 2000

is probably the system of equations you want.

solve the 2nd equation for B, then substitute that result into the 1st equation, then solve for A =1600, then B=2000-1600=400

.05(1600) + .08(400)

= 80 + 32

= 112

2000-x = 1600 at 5%

Latoya R.

thank you so much!! this really helped09/29/21