Tom and Jerry have two tasks to do all day: set traps and build bombs.If Tom spends all day setting traps,he will have set 16 traps.If he instead devotes his day to building bombs,Tom will build 4 bombs.If Jerry spends his day setting traps,he will set 14 traps;if he spends the day building bombs,he will build 7 bombs.At the end of the day,if Jerry was efficient with his resources,he could have produced:
A)12 traps and 0 bombs.
B)10 traps and 2 bombs.
C)8 traps and 2 bombs.
D)6 traps and 2 bombs.

Question

Quizplus · Accepted Answer

Since Jerry is more efficient at setting traps than building bombs, it's best for him to set traps for the entire day. This means he can set 14 traps.

Tom, on the other hand, can build 4 bombs if he spends his day building them.

So together, the two of them can produce 14 traps and 4 bombs.

We need to subtract Tom's trap-setting from the total traps produced to find out how many traps Jerry contributed: 14 - 16 = -2. Since this is negative, we know Jerry couldn't have contributed any traps.

Therefore, the only possible answer is 8 traps and 2 bombs.

Tom and Jerry Have Two Tasks to Do All Day