Q:

A particular computer takes 78 nanoseconds to carry out seven sums and ten products. Another computer takes 55 nanoseconds to carry out 4 sums and eight products. How long does the computer take to carry out one sum? One product?

Accepted Solution

A:
Answer:The time that the computer take to carry out one sum is 4.63 nanoseconds and the time that the computer take to carry out one product is 4.56 nanosecondsStep-by-step explanation:Letx----> the time that the computer take to carry out one sumy----> the time that the computer take to carry out one productwe know that7x+10y=78 ------> equation A4x+8y=55 -----> equation BSolve the system of equations by graphingRemember that the solution of the system of equations is the intersection point both graphsThe solution is the point (4.625,4.563)see the attached figurethereforeThe time that the computer take to carry out one sum is 4.63 nanosecondsThe time that the computer take to carry out one product is 4.56 nanoseconds