MATH SOLVE

3 months ago

Q:
# Mr. Rifkin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had three times as many digital cameras as manual cameras left. How many digital cameras did he have to begin with?

Accepted Solution

A:

He had started with 184 digital cameras and 56 manual cameras.Let d = digital camerasLet m = manual camerasd + m = 240 .....( 1)(d-82) = 3(m-26) d - 82 = 3 m - 78d - 3 m = 82 - 78d - 3m = 16 ...(2)What is the elimination method?The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.Subtaracting equation 1 from 2d + m = 240d - 3m = 16 -4m = -224 m = -224/-4 m = 56d + m = 240d = 240-md = 240-56d = 184Therefore,He had started with 184 digital cameras and 56 manual cameras .To learn more about the equation visit: