Aparticular 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?

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 nanoseconds

Step-by-step explanation:

Let

x----> the time that the computer take to carry out one sum

y----> the time that the computer take to carry out one product

we know that

7x+10y=78 ------> equation A

4x+8y=55 -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (4.625,4.563)

see the attached figure

therefore

The time that the computer take to carry out one sum is 4.63 nanoseconds

The time that the computer take to carry out one product is 4.56 nanoseconds

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y