Question

If x+z=15 and w+y=10, what is the value of (3w+3y)(2x+2z)?

1) 150
2) 300
3) 450
4) 600
5) 900

Answer 1

To find the value of (3w+3y)(2x+2z), multiply the given equations by 3, substitute the values, and solve. The value is 900.

Step-by-step explanation:

To find the value of (3w+3y)(2x+2z), we can use the given equations x+z=15 and w+y=10. First, multiply both equations by 3 to obtain 3x+3z=45 and 3w+3y=30. Now, we can substitute these values into the expression (3w+3y)(2x+2z) to get (30)(2x+2z)=(60)(x+z). Since x+z=15, substitute this value to get (60)(15)=900. Therefore, the value of (3w+3y)(2x+2z) is 900 (option 5).