## Friday, August 5, 2011

### Practice 5b - the missing question (8)

The charges of three buffet catering companies X, Y and Z are shown below.

 Company Buffet table setting and delivery cost per day Cost per person per day X \$170 \$15.99 Y Nil \$23.88 Z \$58 \$19.99

(a)       Kirean wants to cater for a total of 80 people for 1 day at the lowest possible cost. Which company should she select? (1m)

(b)       Company X and Z would charge the same amount for Rahan’s  4-day event. How many people did he want to cater for?  (2m)

#### 8 comments:

1. Answers:
3.a) Company X

b) 28

2. yeah! got that ans too.

3. What the question meant by "Nil"?
How did you guys get that answer?
Can you explain?
Ayisha

4. @Ayisha - "Nil" means "not applicable" - in this case, it means that there is no table setting/delivery cost for Company Y.

For a), we simply need to calculate the cost of catering for 80 people in 1 day for each company and write the company whose cost is the lowest as answer. b) is slightly complicated tho. The 4 days is meant to throw us off (it's the same answer u get either way) so we take it as only 1 day. As the cost per person is higher for company Z than for X, the reason the total cost is the same is because delivery cost is lower for Z than X. So, we take 170 minus 58 to be 4u (19.99u - 15.99u; we assume number of people is u) and we take 112 and divide it by 4u to get 28. Done.

5. Ya my ans is 28 also.
Matthias

6. @Devesh:Thx ya finally I got it..Sorry for late reply...

7. My answer
a)Company X
b)28
Ng Wen Qi

8. YAY! Finally getting the answer really makes my day!

Ivan