A banquet hall has 46 tables. Some tables seat 4 guests each and the others seat 6 guests each. If all the tables together seat 228 guests, how many tables seat 6 guests?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 22
If all 46 were four-seat tables, the total would be 46 × 4. Each of the six-seat tables seats 2 more, so the extra guests count the six-seat tables.
Total if all were four-seat tables \(=46\times4=184\)
Extra \(=228-184=44\)
Number of six-seat tables \(=44\div2=22\)
Number of four-seat tables \(=46-22=24\)
Check: \(24\times4+22\times6=96+132=228\)
There are 22 six-seat tables.
Why the other options are incorrect
Option (2) 38 — Incorrect. \(228\div6=38\) treats every table as a six-seat table.
Option (3) 44 — Incorrect. This is the number of extra guests, 44; each of the six-seat tables seats only 2 extra, so it must be divided by 2.
Option (4) 24 — Incorrect. This is the number of four-seat tables, not of six-seat tables.