# Fundamentals of Numeric Computing

## CPAN 112 || Lab 01

**Please read the following instruction very carefully before answering any questions:**

- Please read all the questions very carefully.
- Please provide your answers in the boxes below each question, and do not change the text colour.
- Your answer MUST show the solution procedure.
- There is no credit if you only state the final answer.
- Please underline your final answer to each question.
- Please keep the naming conventions requested in this lab and each question.
- Once you complete your lab, rename your word document file to the (CPAN112_LabXX_FirstName_LastName). Replace XX with the lab number (e.g. 01). Replace FirstName and LastName with your first name and last name, respectively.

*It will be a 10% mark deduction if you do not follow the guidelinesmentioned above*

**Set up a ratio to represent the following: 10 quarters to 12 dimes to 16 nickels**- 1 quarter = 25 cents
- 1 dime = 10 cents
- 1 nickel = 5 cents
- i.e. 250 : 120 : 80
- 25 : 12 : 8

**Set up a ratio to represent the following: one-half of an hour to 18 minutes**- 1hour = 60 minutes
- i.e. 30 minutes : 18 minutes
- 30:18 = 5:3

**Solve: 2.18: 1.61 = k : 4.4**- 2.18/1.61=k/4.4
- K=2.18/1.61*4.4
- K=5.96

**Students, A, B, and C occupy floor space of 50 m, 70 m, and 80 m,respectively. If the total rental for the space is $1000 per month, how much rent should student A pay?**- 1000 should be allocated to 50:70:80
- 1000/(50+70+80)
- 1000/200
- 5
- A should pay (50*5)=$250
- B should pay (70*5)=$350
- C should pay (80*5)=$400

**A clothing company has found that, based on past experience, $17.50 must be spent on labour costs for every $13.25 spent on materials. If a budget of the year 2005 is set at $231 875.00 for materials, calculate the amount that must be budgeted for labour.**- The ratio is 17.50:13.25=k:231875
- K=17.50/13.25*231875
- K = 306250
- the amount that must be budgeted for labour = $306250

**a) $750 is 33.3% of what amount and b) What is 1/5% of $12150?**

**A buyer bought merchandise for $2900. If he sells the merchandise at 66 2/3% above cost, how much gross profit does he make?**- The merchandise increased 66 2/3 %.
- The profit he makes is 66 2/3% of 2900
- Ie. 2900/100*66 2/3 =1933.3
- The gross profit is $1933.3

**After an increase of 8%, the new amount was $875. What was the original amount?**- Therefore $875 is 108% of the original amount.
- Original price = 875/108*100=$810

**A sales representative selling computer parts receives a commission of 3.5% on net sales up to $15 000.00, 7% on the next $6000.00, and 9% on any further sales. If his sales for a month were $34 250.00 and sales returns were $1055.00,what was his commission for the month?**

**Don Blair invested $11 500 in a business on January 1. She withdrew $700 on March 1, reinvested $1800 on August 1, and withdrew $500 on September 1. What is Don’s average monthly investment balance for the year?**