Question

vic sam and li volunteered at a food bank for 52 hours if sam worked 3 fewer hours then vic and 4 fewer then li how many hours did li work?

Answer 1

Li worked for 19 hours.

Step-by-step explanation:

Let's call x the number of hours that Vic worked, y the number of hours that Sam worked, and z the number of hours that Li worked.

They all work for 52 hours, so:

x + y + z = 52

Sam worked 3 fewer hours than Vic and 4 fewer than Li, so:

y = x - 3 or y + 3 = x

y = z - 4 or y + 4 = z

So, we can replace x and z on the first equation and solve for y as:

(y + 3) + y + (y + 4) = 52

y + 3 + y + y + 4 = 52

3y + 7 = 52

3y + 7 - 7 = 52 - 7

3y = 45

3y/3 = 45/3

y = 15

Then, replacing y by 15, we can calculate the value of x and z as:

x = y + 3

x = 15 + 3

x = 18

z = y + 4

z = 15 + 4

z = 19

Therefore, Li worked for 19 hours.